B. The volume of the cone is 204π larger than the volume of the sphere.
The volume of a cone is given by V = (1/3)πr^2h, where r is the radius and h is the height. For this cone with radius r = 6 and height h = 8, the volume is V_cone = (1/3)π(6^2)(8) = 96π.
The volume of a sphere is given by V = (4/3)πr^3. For a sphere with radius r = 6, the volume is V_sphere = (4/3)π(6^3) = 288π.
Taking the difference in volume between the cone and sphere, we get V_sphere - V_cone = 288π - 96π = 192π. So, the volume of the cone is 192π larger than the volume of the sphere.
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)
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.The volume of the sphere is 288π cm 3 larger than the volume of the cone.
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