IF THE RADIUS OF THE SPHERE IS 26 UNITS AND THE RADIUS OF POINT R IS 26 UNITS FIND CR

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  1. calculus

    3. The radius r of a sphere is increasing at a constant rate of 0.04 centimeters per second. (Note: The volume of a sphere with radius r is v=4/3pir^3 ). a. At the time when the radius of the sphere is 10 cm, what is the rate of increase of its volume? b.

  2. Calculus

    1. The radius of a sphere is expanding at a rate of 14 in/min. a) Determine the rate at which the volume is changing when the radius is 8 in. b) Determine the rate at which the surface area is changing when the radius is 8 in. 2. A particle moves along a

  3. calculus

    1. The radius of a sphere is r inches at time t seconds. Find the radius when the rates of increase of the surface area and the radius are numerically equal. A 1/4π in B 1/5π in C 1/3π in D 1/8π in E 1/2π in

  4. Chemistry

    A meteorological balloon had a radius of 1.1 m when released at sea level at 20◦C. It ex- panded to a radius of 5 m when it had risen to its maximum altitude, where the temperature was −20◦C. What was the pressure inside the balloon at that altitude?

  5. Physics

    A hollow sphere has a mass of 15 kg, an inner radius of 12 cm and an outer radius of 18 cm. What is the rotational inertia (moment of inertia) of the sphere about an axis passing through its center?

  6. Physics

    It can be shown that for a uniform sphere the force of gravity at a point inside the sphere depends only on the mass closer to the center than that point. The net force of gravity due to points outside the radius of the point cancels. How far would you

  7. Dynamics

    Problem 13.185 A 9.13 kg sphere A of radius 90 mm moving with a velocity magnitude v(0)= 2 m/s strikes a 830 g sphere B of radius 40 mm which is hanging from an inextensible cord and is initially at rest. Sphere B swings to a maximum height h after impact.

  8. Physics !!Check Answers!!

    1. What happens to the gravitational force between two objects if the distance between them triples? A. The force increases by a factor of 3 B. The force decreases by a factor of 9 C. The force increases by a factor of 9 D. The force decreases by a factor

  9. Math

    Which describes the collection of all points in the same plane that are 8 and 1/2 inches from Point T? circle T with radius 8 and 1/ 2 inches circle T with diameter 8 and 1/2 inches circle T with radius 17 inches a sphere with center T and radius 8 and 1/2

  10. mathematics

    Suppose you have a sphere of radius r, and you also have a cylinder with radius r whose height is also r. The sum of the volumes of the sphere and the cylinder is V=πr2⋅r+43πr3. How can you rearrange the given equation to isolate r?

  11. Calc

    The radius of a sphere is increasing at a rate proportional to its radius. If the radius is 4 initially, and the radius is 10 after two seconds, what will the radius be after three seconds? dR/dt = c R Integrating this differential equation gives you ln

  12. Math

    a hollow metal sphere has an internal radius of 20cm and an external radius of 30cm , given that the density of the metal is 7.8, find the mass of the sphere , expressing your answer in kg.

  13. physics

    Sphere 1 has surface area A1 and volume V1 and sphere 2 has surface area A2 and volume V2. If the radius of sphere 2 is 3.53 times the radius of sphere 1, what is the ratio of the areas A2/A1 ? 1.25×101 & 4.40×101 are correct answers but i dont remember

  14. math

    A balloon in the shape of a sphere is deflating. Given that t represents the time, in minutes, since it began losing air, the radius of the ballon (in cem) is r(t)=16-t. Let the equation V(r)= 4/3 pi r^3 represent the volume of a sphere of radius r. Find

  15. math

    The side length, d, of a cube that contains a sphere depends on the radius, r, of a sphere. Assuming that the faces of the cube are tangent to the sphere, write the volume of the cube as a function of the radius of the sphere.

  16. Math

    1.) find the volume of a sphere with a radius of 6 ft. round your answer to the nearest whole number. A. 151 ft^3 (my) B. 678 ft^3 C. 904 ft^3 D. 2,713 ft^3 2. find the volume of a sphere with a radius of 4 m. Round your answer to the nearest whole number.

  17. Pre-Calculus

    As a balloon in the shape of a sphere is being blown up, the radius is increasing 1/pi inches per second. At what rate is the volume increasing when the radius is 1 inch? I know that the volume of a sphere = 4/3(pi)r^3 I don't know what to do next. Figure

  18. math

    The volume of a sphere depends on the sphere's radius:V=4/3πr^3.(A)If the radius of a sphere is 3 feet,what is the volume?Give exact and approximate answers and use correct units.(B)Solve for r in the volume formula.(C)If the volume of a sphere is 20

  19. math

    The radius of the sphere is 10 units. What is the approximate volume of the sphere? Use π = 3.14 and round to the nearest whole cubic units

  20. science

    A sphere of radius 4 cm iss carved from a homogenous sphere of radius 8cm and mass 160g. the mass of the smaller sphere is

  21. Pre-Calc (Circles). Please help :(

    Five concentric circles with radii 1, 2, 3, 4, and 5 are drawn as shown dividing the circle of radius 5 into five regions: a circle of radius 1 and 4 annuuli (rings). What is the probability that a point chosen randomly from within the circle of radius 5

  22. Math

    Which statement about a sphere is true? A.The length of the diameter of a sphere is two times the length of the radius of the sphere. B.The great circle of a sphere is a three-dimensional circle. C.The great circle of a sphere is not the same shape as the

  23. Calculus

    Imagine slicing through a sphere with a plane (sheet of paper). the smaller piece produced is called a radius of the sphere. Its volume is V=(pi)h^2(3r-h)/3, where r is the radius of the sphere and h is the thickness of the cap. find dr/dh for a sphere

  24. physics

    a uniform disk and a uniform sphere are rolled down an incline plane from the same point and intially they are at rest. Find the difference in time they arrive at a mark on the plane which is 6 meters from the starting point. The sphere has twice the mass

  25. Physics

    Two uniform solid spheres have the same mass of 3 kg, but one has a radius of 0.25 m while the other has a radius of 0.8 m. Each can rotate about an axis through its center. (a) What is the magnitude τ of the torque required to bring the smaller sphere

  26. Physics

    a metal ball of radius R is placed concentrically inside a hollow metal sphere of inner radius 2R & outer radius 3R. The ballis given a charge +2Q and the hollow sphere a total charge -Q. Calculate. electrostatic potential energy of system.???

  27. math

    The radius of one sphere is twice as great as the radius of a second sphere. Find the ratio of their surface areas.

  28. Physics Problem 6.22

    It can be shown that for a uniform sphere the force of gravity at a point inside the sphere depends only on the mass closer to the center than that point. The net force of gravity due to points outside the radius of the point cancels. How far would you

  29. math

    direct variation the surface area of a sphere varies directly as the square of the radius. if the surface area of a sphere is 36 pi meters squared when the radius is 3 meters, what is the surface area of a sphere with a radius of 6 meters? S=k*r^2 solve

  30. Calculus

    4. At time t, t>0, the volume of a sphere is increasing at a rate proportional to the reciprocal of its radius. At t = 0, the radius of the sphere is 1 and at t = 15 the radius is 2. a. Find the radius of the sphere as a function of t. b. At what time t

  31. Geometry

    A plane intersects a sphere that has a radius of 13cm. The distance from the center of the sphere to the closest point on the plane is 5 cm. What is the radius of the circle that is the intersection of the sphere and the plane? A. 8cm B. 10cm C. 12cm D.

  32. chemistry 1045L

    The volume of a sphere is given by V=(4)(3.14)(r^3)/3 where r is the radius of the sphere. what is the density in g/mL of a sphere which weighs 2.00lb and has a radius of 3.50 inches?

  33. Math for Ms. Sue please!

    1. Name the solid with the description as a figure that has one base that is a rectangle and four lateral surfaces that are triangles. (1 point) triangular pyramid cone rectangular prism rectangular pyramid 2. A solid with two parallel and congruent bases

  34. physics!

    A point charge of +5 μC is located at the center of a sphere with a radius of 12 cm . What is the electric flux through the surface of this sphere ?

  35. Trigonometry

    a man has three golden spheres with radius 1mm,2mm,3mm,respectively. He plans to melt it and make a larger sphere. What will be the radius of the larger sphere?

  36. math

    a solid metal sphere of radius 32cm is melted down and recast to make 64 identical small spheres.what will be the radius of each small sphere?please explain ,thanks

  37. mathematics

    What is the solution for this? The surface area of a sphere varies in direct proportion to the square of its radius. If a sphere of radius 6cm has a surface area of 452 square cm, find, to the nearest mm, the radius of a spherewith the surface area 1000

  38. HELP!!!!!!!!!!!!!!

    Three spheres of radius 10 are placed on a table all touching each other. A fourth sphere of radius 10 is placed so that it lies on top of the other three. The distance from the bottom of the fourth sphere to the table is h, and h^2=a/b, where a and b are

  39. ryan

    You propose to build a space ship that allows the entire population of the United States (280 million) to leave earth. Your plans allocate an average space of 1,000(=10*10*10) cubic feet to each person. You space ship is going to have the shape of a

  40. physics

    A solid sphere of mass m and radius r rolls with out slipping along the track.it starts from rest with the lowest point of tthe sphere at aheight h above the bottom of the loop of radius R,much larger than r.(a) what is the minimum value of h (interms of

  41. college physics

    Two solid spheres A and B are made from the same material. The mass of sphere B is eight times that of sphere A. If the radius of sphere A is 7.50 cm, what is the radius of sphere B? [Volume of a sphere of radius r is given by V = 4ðr63/3]

  42. physics

    Two solid spheres A and B are made from the same material. The mass of sphere B is eight times that of sphere A. If the radius of sphere A is 7.50 cm, what is the radius of sphere B? [Volume of a sphere of radius r is given by V = 4ðr63/3]

  43. college physics

    Two solid spheres A and B are made from the same material. The mass of sphere B is eight times that of sphere A. If the radius of sphere A is 7.50 cm, what is the radius of sphere B? [Volume of a sphere of radius r is given by V = 4ðr63/3]

  44. geometry

    IF THE RADIUS OF THE SPHERE IS 26 UNITS AND THE RADIUS OF POINT R IS 26 UNITS FIND CR.

  45. maths

    1. Sphere C(-2,1,-3), radius=7. T plane at (4,-2,-1)=? (a) 6x-3y+2z=0 (b) r.(6,3,2)=28 (c) 5x-3y-2z=28 (d) r.(6/7,-3/7,2/7) 2. Sphere (x-1)²+(y-5)²+(z-2)²=49 and planr r.(-2,-6,-3)=0 form which circle?(a) (x-1)²+(y-5)²+(z-2)²=19.53 (b) C(0,0,0),

  46. math

    1. Sphere C(-2,1,-3), radius=7. T plane at (4,-2,-1)=? (a) 6x-3y+2z=0 (b) r.(6,3,2)=28 (c) 5x-3y-2z=28 (d) r.(6/7,-3/7,2/7) 2. Sphere (x-1)²+(y-5)²+(z-2)²=49 and planr r.(-2,-6,-3)=0 form which circle?(a) (x-1)²+(y-5)²+(z-2)²=19.53 (b) C(0,0,0),

  47. physics

    A solid nonconducting sphere of radius 13 cm has a positive charge 9.8 × 10-8 C spread uniformly throughout its volume. The electric field at a point within the sphere at a radius 5.0 cm has a magnitude of

  48. phy

    A very thin hollow conducting sphere has a radius of R=0.12 m. The center of the sphere is at S. A charge of q=7×10−6 C is present at point P which is located d=0.09 m from S. Assume that this charge stays at this position (thus it cannot move). We draw

  49. Chemistry

    The volume of a sphere is given by V=(4/3)3.14r^3, where r is the radius. Compute the volume of a sphere with a radius of 329pm. state your answer in units of m^3.

  50. geometry

    A plane intersects a sphere that has a radius of 13 cm. The distance from the center of the sphere to the closest point on the plane is 5 cm. What is the radius of the circle that is the intersection of the sphere and the plane? A. 8 cm B. 10 cm C. 12 cm

  51. Physics

    A solid sphere and a thin walled spherical she'll, both with a radius R, are set up to roll down a ramp and through a vertical loop of radius r. From what minimum height, h, does each sphere need to be released in order to make it around the loop? If the

  52. math

    Find the radius of the circle formed by the intersection of a sphere of diameter 26 units and a plane that is 5 units away from the center of the sphere.

  53. Math

    Compute the largest possible distance between two points A and B, where A is a point on the sphere of radius 19 with center (-2, -10, 5) and B is a point on the sphere of radius 87 with center (12, 8, -16).

  54. Physics

    It can be shown that for a uniform sphere the force of gravity at a point inside the sphere depends only on the mass closer to the center than that point. The net force of gravity due to points outside the radius of the point cancels. Part A How far would

  55. Geometry/Algebra/Calculus

    Why isn't the surface area of a sphere with radius r the following: 2*pi * (pi*r) That comes from the following flow of logic: Doesn't it makes sense to think of the surface area of the sphere with radius r as the the circumference of the semi-circle with

  56. calculus *improper integrals*

    A hole of a radius of 1cm is pierced in a sphere of a 4cm radius. Calculate the volume of the remaining sphere. I know that the volume of a sphere with an exterior radius is of: V = pie(R^2 - r^2) dH where R^2 is the exterior surface area and r^2 is the

  57. physics

    A metal sphere of radius 5.00 cm is initially uncharged. How many electrons would have to be placed on the sphere to produce an electric field of magnitude 1.59 105 N/C at a point 7.98 cm from the center of the sphere?

  58. Chemistry

    A sphere of metal has a radius of 5.7 cm and a density of 8.33 g/cm^3. What is the mass of the sphere? Answer in units of g.

  59. Physics and Maths

    A sphere of uniform density d1 has a radius R. It also consists of a hollow sphere of radius r. the sphere floats slightly on water of density d2. Find r.

  60. physics

    a uniform disk and a uniform sphere are rolled down an incline plane from the same point and intially they are at rest. Find the difference in time they arrive at a mark on the plane which is 6 meters from the starting point. The sphere has twice the mass

  61. Calculus Help

    Suppose you drill a circular hole with radius r through the center of a sphere with radius R. You remove exactly half the volume of the sphere. The ratio of your radii is: r/R=

  62. physics

    A mettalic sphere of radius a carries a charge Q. It is brought in contact with an uncharged sphere of radius b . what will be the charge on the first sphere. My work I eliminated 2 options by substitution and realised that it won't be their average as

  63. Physics

    I would really appreciate the help for this assignment. A small reasoning for the answer would be very helpful. Thank you. A sphere of mass m and radius r is attached to the rim of a disk (mass M, radius R). The disk is rotating counter-clockwise with a

  64. Physics

    A sphere with a moment of inertia 0.658mr2 and mass m and radius r rolls without slipping along the track shown on a planet where the acceleration due to gravity is g. It starts from rest at a height h = 4.87R above the bottom of the circular loop of

  65. Math

    The radius of a sphere is 3 cm . the radius is increased by a linear scale factor of 5:2 . calculate the surface area of the new sphere

  66. Geometry

    Four identical metal spheres, each with radius 6 cm, are melted and reshaped into one big sphere. Fine the radius of the new sphere.

  67. calculus

    A hole of a radius of 1cm is pierced in a sphere of a 4cm radius. Calculate the volume of the remaining sphere. I know that the volume of a sphere with an exterior radius is of: V = pie(R^2 - r^2) dH where R^2 is the exterior surface area and r^2 is the

  68. math

    The volume of a sphere is given by V=4*r^3/3, where r is the radius,compute the radius of a sphere having a volume 40 percent greater than that of a sphere of radius 4 ft?

  69. math

    A solid cone of height 12cm and radius 9 cm is recast into a solid sphere. Calculate the surface area of the sphere. cone V= 1/3 pi r^2 h sphere V= 4/3 pi r^3 area of sphere = 4r^2 how to find sphere of radius?

  70. math --- check my work!

    1.Find the surface area for a sphere with a radius of 10 feet. Round to nearest whole number. 1,256 ft2*** 4,189 ft2 1,089 ft2 1,568 ft2 2.Find the volume of a sphere with a radius of 10 feet. Round to the nearest whole number. 1,257 ft3 4,187 ft3*** 1,089

  71. Science

    1) A block of mass 0.5 kg is placed at the highest point of a fixed smooth sphere of radius 0.5m. The block is gently pushed to one side. Calculate: 0 the 3 o (1) force exerted by the block on the sphere when it makes an angle with the vertical. (ii) At

  72. Science

    It can be shown that for a uniform sphere the force of gravity at a point inside the sphere depends only on the mass closer to the center than that point. The net force of gravity due to points outside the radius of the point cancels. How far would you

  73. Physics

    A small solid sphere, with radius 0.25 cm and mass 0.61 g rolls without slipping on the inside of a large fixed hemisphere with radius 17 cm and a vertical axis of symmetry. The sphere starts at the top from rest. (a) What is its kinetic energy at the

  74. Physics

    A small solid sphere, with radius 0.25 cm and mass 0.61 g rolls without slipping on the inside of a large fixed hemisphere with radius 17 cm and a vertical axis of symmetry. The sphere starts at the top from rest. (a) What is its kinetic energy at the

  75. physics

    A solid sphere of radius 35 cm is positioned at the top of an incline that makes 20 ◦ angle with the horizontal. This initial position of the sphere is a vertical distance 3.4 m above its position when at the bottom of the incline. The sphere is released

  76. Science

    A sphere of mass 30.0 kg and radius 0.150 m is attached to a point on a smooth vertical wall by a string of length 0.150 m which runs from a point on the surface of the sphere to the point on the wall. Find the tension in the string and the horizontal

  77. Physics

    What is the volume in cubic cm of a sphere with radius 2 cm? is it = 33.51032163829112 What is the area in m2 of a triangle with base 2.8 m and height of 10.4 m? is it = 14.56 A sphere has a volume of 106 cm3. What is its radius (in cm)? is it =

  78. algebra

    The radius needed to create a sphere with a given volume V can be approximated by the equation r = 0.62(V)1/3. Find the radius of a sphere with a volume of 216 cubic meters. Round the answer to the nearest hundredth.

  79. Math

    The radius needed to create a sphere with a given volume V can be approximated by the equation r = 0.6(V)^1/3. Find the radius of a sphere with a volume of 729 cubic meters. Round the answer to the nearest hundredth.

  80. Geometry 10th

    A cone is inscribed in a sphere with a radius of 5 centimeters.The distance from the center of the sphere to the center of the base of the cone is x. Write an expression for the volume of the cone in terms of x (Hint: Use the radius of the sphere as part

  81. Math

    Find the volume of the largest right circular cylinder (in units^3) that fits in a sphere of radius 4 units.

  82. Physics

    A hollow sphere has a mass of 15 kg, an inner radius of 12 cm and an outer radius of 18 cm. What is the rotational inertia (moment of inertia) of the sphere about an axis passing through its center?

  83. Algebra

    Spheres 1) Find the surface area for a sphere with a radius of 10 feet. Round to the nearest whole number. :1,256ft^2*** :4,189ft^2 :1,089ft^2 :1,568ft^2 2) Find the volume of a sphere with a radius of 10 feet. Round to the nearest whole number. :1,257

  84. physics

    How do i put them all in sig fig form??? What is the volume in cubic cm of a sphere with radius 2 cm? is it = 33.51032163829112 What is the area in m2 of a triangle with base 2.8 m and height of 10.4 m? is it = 14.56 A sphere has a volume of 106 cm3. What

  85. algebra

    what is the volume of a sphere with radius r is given by the formula v=4/3 r^3 Find the volume of sphere with radius 4 meters. use 3.14 for the value of x and round your answer to the nearest tenth.

  86. 10th grade

    The volume of a small sphere is 36 pie cm cubed. The volume of a large sphere is 288 cm cubed and its radius is 6 cm. What is the similarity ratio of the radii of the two spheres? What is the measurement of the small sphere's radius?

  87. Physics

    A neutral solid conducting sphere of radius R has charge Q deposited in it, and is sitting at the centre of a conducting shell of inner radius 2R and outer radius 3R. After the conductor reaches equilibrium, find the potential at R

  88. PHYSICS

    A 494 kg uniform solid sphere has a radius of 0.390 m. Find the magnitude of the gravitational force exerted by the sphere on a 49.1 g particle located (a) 1.45 m from the center of the sphere 1 ? N (b) at the surface of the sphere 2 ? N (c) 0.200 m from

  89. geometry

    Write an equation for each circle if the coordiantes of the center and length of the radius are a. center(-1,-5) radius = 2 units b. center(0,3) radius = 7 units c. center(-9,7) radius = 1/2 units

  90. Calculus

    1. The radius of a sphere is expanding at a rate of 14 in/min. a) Determine the rate at which the volume is changing when the radius is 8 in. b) Determine the rate at which the surface area is changing when the radius is 8 in. 2. A particle moves along a

  91. Algebra II

    12. A sphere has a radius of 4x + 1. Which polynomial in standard form best describes the total surface area of the sphere? Use the formula S = 4 r2 for the surface area of a sphere. (1 point) 64 x2 + 32 x + 4 64 x2 + 16 x + 4 *my answer 4 x2 + 32 x + 64 4

  92. Physics

    Two spheres are cut from the same uniform rock. One has a radius r1 = 4.50 x 10-2 m and mass M1. The mass of the second sphere is M2 = 5M1. What is the radius of the second sphere?

  93. physics

    A solid metal sphere with radius 0.410 carries a net charge of 0.290 Find the magnitude of the electric field at a point 0.116 outside the surface of the sphere.

  94. Math

    what is the surface area of a sphere with a radius of 4.75 units

  95. Geometry Math

    If point M is the center of a sphere with the coordinates (-1,3,2) and point T is a point on the surface of the sphere with the coordinates (0,5,1), what is the radius of the sphere?

  96. Physics

    Consider a conducting spherical shell with inner radius b = 0.862 m and outer radius c = 1.21 m. There is a net charge q2 = 3.82 ìC on the shell. At its center, within the hollow cavity, there is a point charge q1 = 2.89 ìC. Determine the flux through

  97. Physics

    A hollow sphere of radius 25 cm is rotating at 13 rad/ sec about an axis that passes through its center. The mass of the sphere is 3.8 kg. assuming a constant net torque is applied to the sphere, how much work is required to bring the sphere to a stop?

  98. Math--2question

    13. What is the surface area of a sphere with a radius of 4 meters rounded to the nearest square meter? (1 point)50 m2 101 m2 201 m2 268 m2 14. What is the volume of a sphere with a radius of 4 meters rounded to the nearest square meter? (1 point)67 m3 201

  99. Math

    Circle C has radius 4 inches. Circle D had radius 9 inches. These two circles are connected. Point A,B,and E are points of tangency. Find AB. From point C to point D(which is the radius of circle C plus the raduis of circle D) it is 13 inches. From point C

  100. geometry

    Given two spheres, if the volume of the first sphere is 36r, and the volume of the second sphere is 288r, what is the relation of the second radius to the first radius?

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