D The volume of the sphere is 288π larger than the volume of the cone.
To calculate the volume of the sphere, we use the formula V = (4/3)πr^3 = (4/3)π(6)^3 = 288π.
To calculate the volume of the cone, we use the formula V = (1/3)πr^2h = (1/3)π(6)^2(12) = 144π.
Therefore, the difference in volume between the cone and sphere is 288π - 144π = 144π.
Consider a sphere with the same radius (r = 6) as the cone shown. What is the difference in the volume between the cone and sphere? (in terms of π)
Responses
A The volume of a cone and sphere with the same radius (r = 6) is equal.The volume of a cone and sphere with the same radius (r = 6) is equal.
B The volume of the cone is 204π larger than the volume of the sphere.The volume of the cone is 204π cm 3 larger than the volume of the sphere.
C The volume of the sphere is 204π larger than the volume of the cone.The volume of the sphere is 204π cm 3 larger than the volume of the cone.
D The volume of the sphere is 288π larger than the volume of the cone.
1 answer
1 answer