A ball of radius 10 has a round hole of radius 5 drilled through its center. Find the volume of the resulting solid.

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  1. 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.

  2. math

    4x^2+4y^2-16x-24y+51=0 is the equation of a circle. where is the center of the circle and what is it's radius? A. center (2,3) radius=1/4 B. center (2,3) radius=1/2 C. center (-2,-3) radius=1/4 D. center (-2,-3) radius=1/2

  3. Calculus

    A ball of radius 12 has a round hole of radius 6 drilled through its center. Find the volume of the resulting solid. I tried finding the volume of the sphere and the volume of the cyclinder then subtract however that did not work.

  4. calculus

    A ball of radius 10 has a round hole of radius 8 drilled through its center. Find the volume of the resulting solid.

  5. space/astronomy

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  6. Projectile Motion

    A golfer is teeing off on a 170.0 m long par 3 hole. The ball leaves with a velocity of 40.0 m/s at 50.0o to the horizontal. Assuming that she hits the ball on a direct path to the hole, how far from the hole will the ball land (no bounces or rolls)

  7. Physics

    5. A circular pizza of radius R has a circular piece of radius R/3 removed from one side. The center of mass of the pizza with the hole is at a distance of_____ from the center of mass of the original pizza. A. R/20 B. R/2 C. R/30 D. R/3 E. R/12 The answer

  8. Physics Please help!

    Calculate the position of the center of mass of the following pairs of objects. Use acoordinate system where the origin is at the center of the more massive object. Give youranswer not in meters but as a fraction of the radius as requested. Get data from

  9. MATH - HELP ME PLEASE!!!!

    A steel plate has the form of one-fourth of a circle with a radius of 42 centimeters. Two two-centimeter holes are to be drilled in the plate positioned as shown in the figure in the website. Find the coordinates of the center of each hole.

  10. Precalculus

    Rachel is bowling with her friends. Her bowling ball has a radius of 4.1 inches. As she bowls she tracks the location of the finger hole above the ground. She starts tracking the location when the finger hole is at the 12 o'clock position and she notices

  11. Mathematics -- Geometry --

    A bowling ball is a solid ball with a spherical surface and diameter 30 cm. To custom fit a bowling ball for each bowler, three holes are drilled in the ball. Bowler Kris has holes drilled that are 8 cm deep and have diameters of 2 cm, 2 cm, and 3 cm.

  12. calculus

    A ball of radius 10 has a round hole of radius 5 drilled through its center. Find the volume of the resulting solid.

  13. calculus

    Find the volume that remains after a hole of radius 1 is bored through the center of a solid sphere of radius 2.

  14. Geometry

    A 2 inch by 2 inch by 2 inch block of wood has 1 inch diameter hole drilled. Through the center. Find the total volume and surface area. Round to the nearest tenth.

  15. Physics

    A seasoned mini golfer is trying to make par on a tricky hole #5. The golfer can complete the hole by hitting the ball from the flat section it lays on, up a 45° ramp launching the ball into the hole which is d = 1.60 m away from the end of the ramp. If

  16. College Physics

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  17. math

    A cylindrical metal radius 7cm and height 15cm has its centre drilled with a hole of 5cm in cross-section. If 152cm(cube) of d metal weight 125kg, what is the weight of d hallowed cylinder? How do I solve this please?

  18. College Physics

    A bowling ball (mass = 4.4 kg, radius = 0.11 m) and a billiard ball (mass = 0.35 kg, radius = 0.028 m) may each be treated as uniform spheres. What is the magnitude of the maximum gravitational force that each can exert on the other? What equation should I

  19. Physics Honors

    A golfer is teeing off on a 170 m long par 3 hole. The ball leaves with a velocity of 40 m/s at 50 degrees to the horizontal. Assuming that she hits the ball on a direct path to the hole, how far from the hole will the ball land (no bounces or rolls)?

  20. Math

    Find the center and radius of the circle with equation x2 + y2 - 6x + 10y + 9 = 0. center ( ? , ? ) radius ?

  21. physics

    Calculate the speed with which water flows from a hole in the dam of a large irrigation canal. The hole is 0.80 m below the surface of the water. If the hole has a radius of 2.0 cm, what is the flow rate of the water from the hole?

  22. calculus 2

    A ball of radius 12 has a round hole of radius 6 drilled through its center. Find the volume of the resulting solid.

  23. Physics

    A ball is lodged in a hole in the floor near the outside edge of a merry-go-round that is turning at constant speed. Which kinematic variable or variables change with time, assuming that the position is measured from an origin at the center of the

  24. Physics

    A hydraulic device is used to lift the bucket of a backhoe. The input is a round cylinder that is 1.0 cm in radius. The output piston is round and 6.0 cm in radius. How much can it lift if the input force is 500 newtons? so converting radius to Area A=Pi x

  25. probability

    During the second round of the 1989 U.S. Open golf tournament, four golfers scored a hole in one on the sixth hole. The odds of a professional golfer making a hole in one are estimated to be 3,708 to 1, so the probability is 1/3,709. There were 155 golfers

  26. physics

    A curcial part of a piece of machinery starts as a flat uniform cylindrical disk of radius R0 and mass M. It then has a circular hole of radius R1 drilled into it. The hole's center is a distance h from the center of the disk. Find the moment of inertia of

  27. algebra2

    Identify the center and radius of the circle written in standard form. x^2 + (y + 3)^2 = 8 center (x, y) = (0,-3) radius = 2 square root 2 please check answer if correct radius

  28. physics

    A ball is lodged in a hole in the floor near the outside edge of a merry-go-round that is turning at constant speed. Which kinematic variable or variables change with time, assuming that the position is measured from an origin at the center of the

  29. Calculus

    A ball of radius 16 has a round hole of radius 4 drilled through its center. Find the volume of the resulting solid.

  30. Physics

    A machine part is made from a uniform solid disk of radius R and mass M. A hole of radius R/2 is drilled into the disk, with the center of the hole at a distance R/2 from the center of the disk (the diameter of the hole spans from the center of the disk to

  31. Physic

    A machine part is made from a uniform solid disk of radius R = 0.161 m and mass M = 7.75 kg. A hole of radius R/2 is drilled into the disk, with the center of the hole at a distance R/2 from the center of the disk (the diameter of the hole spans from the

  32. science

    If we drilled a hole straight through the earth, and dropped a golf ball down the hole, starting initially at rest, how fast would the ball be traveling when it reached the center of the earth. The earth’s radius is 6378 km.

  33. Physics

    In the approximation that the Earth is a sphere of uniform density, it can be shown that the gravitational force it exerts on a mass m inside the Earth at a distance r from the center is mg(r/R), where R is the radius of the Earth. (Note that at the the

  34. physics

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  35. Physics

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  36. Physics

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  37. physics

    A thin rectangular plate of uniform area density σ1 = 1.00 kg/m2 has a length a = 0.500 m and a width b = 0.210 m. The lower left corner is placed at the origin, (x, y) = (0, 0). A circular hole of radius r = 0.040 m with center at (x, y) = (0.057 m,

  38. Physics

    A thin rectangular plate of uniform area density σ1 = 1.01 kg/m2 has a length a = 0.580 m and a width b = 0.240 m. The lower left corner is placed at the origin, (x, y) = (0, 0). A circular hole of radius r = 0.046 m with center at (x, y) = (0.066 m,

  39. 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

  40. algebra

    the weight of a symetry ball varies directly with the cube of it's radius a ball with the radius of 2 inches weighs 5.60. find the weight of a ball with a 3 inch radius

  41. Probability

    Terminology: A circle of radius r is a curve that consists of all points at distance r from the center of the circle. A disk of radius r is the set of all points whose distance from its center is less than or equal to r . Thus, a circle is the boundary of

  42. physics

    consider a solid metal ball with radius r and charge q. what is the electric field intensity at the center, anywhere inside the ball and anywhere outside the ball?

  43. Physics

    A ball is lodged in a hole in the floor near the outside edge of a merry-go-round that is turning at constant speed. Which kinematic variable or variables change with time, assuming that the position is measured from an origin at the center of the

  44. Math(Please check answers)

    These questions that I have completed are on a test review for my exam and I would just like to know if they are correct. These are only a few of the questions, I have more that are just not complete yet. Thank You! 1) List the intercepts for the graph of

  45. Math

    These questions that I have completed are on a test review for my exam and I would just like to know if they are correct. These are only a few of the questions, I have more that are just not complete yet. Thank You! 1) List the intercepts for the graph of

  46. Math

    A hemisphere of radius 7 sits on a horizontal plane. A cylinder stands with its axis vertical, the center of its base at the center of the sphere, and its top circular rim touching the hemisphere. Find the radius and height of the cylinder of maximum

  47. Physics

    If you are casting a shadow of a ball on the wall, how do you make the umbra larger than the ball or is it impossible. Also, how can you make the umbra smaller than the ball or is it impossible? How can you make the radius of the penumbra larger than the

  48. physics

    Problem: A long cylinder of diameter 2a has a charge per unit length, lambda, that is uniformly distributed down a very long wire. The cross section of the cylinder is not uniform, with a small hole drilled into it, which has a center at r = R and a

  49. Physics

    Calculate the position of the center of mass of the following pairs of objects. Use acoordinate system where the origin is at the center of the more massive object. Give youranswer not in meters but as a fraction of the radius as requested. Get data from

  50. physics

    A playground merry-go-round has a disk-shaped platform that rotates with negligible friction about a vertical axis. The disk has a mass of 240 kg and a radius of 1.4 m. A 33- kg child rides at the center of the merry-go-round while a playmate sets it

  51. Physics

    A playground merry-go-round has a disk-shaped platform that rotates with negligible friction about a vertical axis. The disk has a mass of 240 kg and a radius of 1.4 m. A 33- kg child rides at the center of the merry-go-round while a playmate sets it

  52. physics

    A playground merry-go-round has a disk-shaped platform that rotates with negligible friction about a vertical axis. The disk has a mass of 210 kg and a radius of 1.8 m. A 35- kg child rides at the center of the merry-go-round while a playmate sets it

  53. mechanics and heat

    A tennis ball of mass m and radius R = 3 cm rolls up without slipping an inclined plane of inclination angle of 37 degree as shown in the figure at the bottom of the incline the center of mass velocity of the ball is v = 10 m/s . The ball stops after

  54. Calculus

    A ball of radius 14 has a round hole of radius 8 drilled through its center. Find the volume of the resulting solid

  55. Physics!

    The figure shows a uniform disk with a circular hole cut out of it. The disk has a radius of 4.00 m. The hole's center is at 2.00 m, and its radius is 1.00 m. What is the x-coordinate of the center of gravity of the system? The center of the disk is (0,0)

  56. College Physics

    n the approximation that the Earth is a sphere of uniform density, it can be shown that the gravitational force it exerts on a mass m inside the Earth at a distance r from the center is mg(r/R), where R is the radius of the Earth. (Note that at the the

  57. physics

    A hole is drilled through a copper plate whose temperature is 17.2 °C. When the plate is heated to 191 °C, by what fraction (r-ro)/ro will the radius of the hole change?

  58. calculus 1 (I need help)

    The portion of the ellipse x^2/9+y^2/4=1 with x greater than or equals to 0 is rotated about the y-axis to form a solid S. A hole of radius 1 is drilled through the center of S, along the y-axis. Find the exact volume of the part of S that remains. Show

  59. Help plz on Calc

    The portion of the ellipse x^2/9+y^2/4=1 with x greater than or equals to 0 is rotated about the y-axis to form a solid S. A hole of radius 1 is drilled through the center of S, along the y-axis. Find the exact volume of the part of S that remains. Show

  60. physics

    Two circular holes, one larger than the other, are cut in the side of a large water tank whose top is open to the atmosphere. Hole 1 is the larger hole, and hole 2 is the smaller hole. The center of one of these holes is located 6 times as far beneath the

  61. geometry

    . Which of the following circles would show the locus of points in a plane 1 unit from the intersection of the lines x + y = 2 and x – y = 4? a. center (4, 2), radius = 1 b. center (3, –1), radius = 1 c. center (3, 1), radius = 1 d. center

  62. Physics

    A mass of 0.475 kg, on a frictionless table, is attached to a string which passes through a hole in the table. The hole is at the center of a horizontal circle in which the mass moves with constant speed. The radius of the circle is 0.510 m and the speed

  63. physics (PLS HELP)

    A hole is drilled with smooth sides straight through the center of the earth to the other side of the earth. The air is removed from this tube (and the tube doesn't fill up with water, liquid rock or iron from the core). An object is dropped into one end

  64. physics help (elena)

    A hole is drilled with smooth sides straight through the center of the earth to the other side of the earth. The air is removed from this tube (and the tube doesn't fill up with water, liquid rock or iron from the core). An object is dropped into one end

  65. PHYSICS(HELP!!)

    A hole is drilled with smooth sides straight through the center of the earth to the other side of the earth. The air is removed from this tube (and the tube doesn't fill up with water, liquid rock or iron from the core). An object is dropped into one end

  66. Physics Classical Mechanics

    A hole is drilled with smooth sides straight through the center of the earth to the other side of the earth. The air is removed from this tube (and the tube doesn't fill up with water, liquid rock or iron from the core). An object is dropped into one end

  67. Physics

    In the manufacture of a cam, a uniform solid cylinder of radius R is first machined. Then an off-center hole of radius R/2 is drilled, parallel to the axis of the cylinder, and centered at a point a distance R/2 from the center of the cylinder. Then cam,

  68. 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=

  69. Geometry

    Write the General form equations for the following circles: 1. A circle with center (1, -6) and radius 4 2. A circle with center (6, 8) and radius 10 3. A circle with center (0, 3) and radius 2√3 4. A circle with center (-0.5, 5.5 ) and radius 8.4 5. A

  70. college pre-calculus

    4x^2+4y^2-16x-24y+51=0 is the equation of a circle. where is the center of the circle and what is it's radius? A. center (2,3) radius=1/4 B. center (2,3) radius=1/2 C. center (-2,-3) radius=1/4 D. center (-2,-3) radius=1/2

  71. math

    4x^2+4y^2-16x-24y+51=0 is the equation of a circle. where is the center of the circle and what is it's radius? A. center (2,3) radius=1/4 B. center (2,3) radius=1/2 C. center (-2,-3) radius=1/4 D. center (-2,-3) radius=1/2

  72. mathematics

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  73. physics

    A tank full of water has a height H = 12:5 m. A small hole is drilled into its side h = 2:5 m above the ground. What is the horizontal distance from the tank to the point where the water spout owing from the hole reaches the ground?and at what height must

  74. Math

    Jim has a difficult golf shot to make. His ball is 100m from the hole. He wants the ball to land 5m in front of the hole, so it can role to the hole. A 20m tree is between his ball and the hole, 40m from the hole and 60m from Jim's ball. With the base of

  75. AP Physics

    A cylindrical container of radius 20 cm contains water of height of 3 m. Two meters down from the water level there is a hole of 0.5 cm in radius. Find the velocity and volume flow rate of water leaving the hole. Where does it strike the ground?

  76. physics

    A 9.0 x 10^-3 kg ball is attached to a 3.6 x 10^-2 mass (M) by string that passes through a hole in a horizontal frictionless surface. The ball travels in a circular path of radius 0.35 m. What is the speed of the ball? I know the answer is 3.7 m/s, but

  77. physics

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  78. math

    how do i get the area of a circle????????????? area of a circle=pi * radius * radius huh what huh radius is the measuremnt from the center of the circule so Pi also known as 3.14 multiplyed by radius squared or known as radius times radius

  79. Algebra

    Could you please check some of my Algebra problems please? Write the standard form of the equation of the circle with the given center and radius. 1. (-7,4);8 I got (x+7)^2 + (y-4)^2=64 2. (-7,10); square root of 17 I got (x+7)^2 + (y-10)^2=17 3. (0,0); 2

  80. phy

    How much work is done by the motor in a CD player to make a CD spin, starting from rest? The CD has a diameter of 12.8 cm and a mass of 15.7 g. The laser scans at a constant tangential velocity of 1.23 m/s. Assume that the music is first detected at a

  81. physics

    Zero, a hypothetical planet, has a mass of 3.0*10^23 kg, a radius of 3.0*10^6 m, and no atmosphere. A 10 kg space probe is to be launched vertically from its surface. (a) If the probe is launched with an initial kinetic energy of 5.0*10^7 J, what will be

  82. calculus-can someone please help me with this ques

    I can get part of the answer then I get stumped. find the center and radius of the circle, Write the standard form of the equation. (4,3)(1,3) to get center: (1+4/2, 3+3/2)=5/2,3 answer:5/2,3 for center radius: then i am stuck

  83. Physics

    A 0.5 kg mass is moving in a circle of radius 1.8 m on a flat frictionless table at the end of a string. The speed of the mass is 2.6 m/s. The string routes through a hole in the center of the table and is held by you underneath the table. A.) What is the

  84. physics

    A 0.5 kg mass is moving in a circle of radius 1.8 m on a flat frictionless table at the end of a string. The speed of the mass is 2.6 m/s. The string routes through a hole in the center of the table and is held by you underneath the table. What is the

  85. math

    Write the equation of the circle in standard form. 9x^2 + 9y^2 + 72x − 108y + 368 = 0 Identify its center and radius. center (x, y) = radius =

  86. Physics HW Help, Please

    seasoned mini golfer is trying to make par on a tricky hole #5. The golfer can complete the hole by hitting the ball from the flat section it lays on, up a 45° ramp launching the ball into the hole which is d = 1.60 m away from the end of the ramp. If the

  87. mathematics

    A spherical ball weighs three times as much as another ball of identical appearance and composition. The second ball weighs less because it is actually hollow inside. Find the radius of the hollow cavity in the second ball, given that each ball has a

  88. math

    find the center and radius of a circle given the equation in general form x^2+y^2+4x-6y+2=0. center: ? radius: ?

  89. Physics

    A ball is attached to a center post by a string that is 0.382 m long. The ball is moving in a circle on a frictionless table top at a speed of 1.28 m/s with a radius of 0.382 m. What is the centripetal acceleration of the ball?

  90. Algebra

    Find the equation of the circle having the given center and radius. center (-5,1), radius 6 squared.

  91. Math(Please check)

    Find the center (h,k) and radius of the following circle. x^2 + y^2 - 6x - 2y + 1 = 0 My answer is center= (-3,-1) and radius of 1. Am I correct?

  92. MATH - HELP ME PLEASE!!!!

    A steel plate has the form of one-fourth of a circle with a radius of 42 centimeters. Two two-centimeter holes are to be drilled in the plate positioned as shown in the figure in the website below. Find the coordinates of the center of each hole.

  93. Calculus

    A carpenter drills a 1 cm radius hole through a wooden ball along a diameter. If the radius of the ball is 4 cm, determine the volume of remaining wood.

  94. physics

    A spherical shell of uniform charge density σ has a circular hole cut out of it.What is the Electric Field at a radius just outside the sphere, directly over the center of the circular, cut-out hole? Type "sigma" for σ and "epsilon_o" for ϵo. HINT: the

  95. algebra story problems

    You have a metal plate that you have drilled a hole into. The entire area enclosed by the metal plate is given by 5x^2 = 12x + 10 and the area of the hole is given by x^2+2. Write an expression for the area in factored form of the plate that is left after

  96. Pre-Calc

    Determine the center and the radius of the following circle: x^2+y^2+6x-4y-5=0 I got for the radius 3(sqrt2) I got for the center (-3,2) Can you please tell me if I am correct? The radius seems wierd.

  97. MATH

    The volume of a cone shaped hole is 16 pi ft^3. If the hole is 3 ft deep, what is the radius of the hole?

  98. Calculus

    An open hemispherical bowl of radius R is slowly draining through a small hole of radius r in the bottom of the bowl. Let g be the acceleration due to gravity and y be the depth of the water (which means the distance from the water surface to the hole).

  99. Physics HW, Please Help

    A seasoned mini golfer is trying to make par on a tricky hole #5. The golfer can complete the hole by hitting the ball from the flat section it lays on, up a 45° ramp launching the ball into the hole which is d = 1.60 m away from the end of the ramp. If

  100. college algebra

    Find the center and radius of the circle (x+3)^2+(y-5)^2=13 I think the center is (-3,5) Radius is (13) but I don't know how to show the work for it.

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