Find the volume of a sphere with a radius of 1.1 feet. Use 3.14 as an approximation for pi. Round your answer t the nearest hundredth, if necessary.
The formula for the volume of a sphere is V = (4/3)πr^3, where r is the radius.
Substituting the given radius, we have V = (4/3)(3.14)(1.1^3)
V ≈ (4/3)(3.14)(1.331)
V ≈ 5.579
The volume of the sphere is approximately 5.579 cubic feet.
The formula for the volume of a sphere is V = (4/3)πr^3, where r is the radius.
Substituting the given radius, we have V = (4/3)(3.14)(3^3)
V = (4/3)(3.14)(27)
V = 113.04
The volume of the spherical scoop of ice cream is approximately 113 cubic centimeters.
Therefore, there is approximately 113 ml of ice cream in the scoop.
how much ice cream is in a spherical scoop of ice cream with a radius of 3 cm? use 3.14 as an approximation for pi. Round your answer to the nearest whole number.
suppose a sphere cylinder and cone all share the same radius and the cylinder and cone also have the same height, which is twice the radius. Which of the following is true about the relationship between the volume formulas for the sphere, cylinder, and cone?
answers: A: Sphere - cone = cylinder
B: sphere = cylinder + cone
C: 3 cones = 1 cylinder
Or D: 1 cylinder = 2 cones + 1 sphere.
The relationship between the volume formulas for the sphere, cylinder, and cone can be determined by comparing their respective formulas.
The formula for the volume of a sphere is given by V_sphere = (4/3)πr^3, where r is the radius.
The formula for the volume of a cylinder is given by V_cylinder = πr^2h, where r is the radius and h is the height.
The formula for the volume of a cone is given by V_cone = (1/3)πr^2h, where r is the radius and h is the height.
Given that the height of the cylinder and cone is twice the radius, h = 2r, we can substitute this value in the formulas.
V_cylinder = πr^2(2r) = 2πr^3
V_cone = (1/3)πr^2(2r) = (2/3)πr^3
Comparing the formulas, we can see that 1 cylinder is equal to 2/3 of a cone plus 1 sphere. Therefore, the correct answer is:
D: 1 cylinder = 2 cones + 1 sphere.
Thats wrong because the volume of a sphere is twice that of a cone, would it not be smarter to say that 3 cones are = to 1 cylinder?
I apologize for the misunderstanding. You are correct. The volume of a sphere is indeed twice that of a cone with the same radius and height. Therefore, it would be more accurate to say that:
C: 3 cones = 1 cylinder.
Thank you for pointing out the mistake, and I apologize for any confusion caused.