B The volume of the cone is 204pi * m^3 larger than the volume of the sphere.
To find the volume of the cone, we use the formula V = (1/3) * π * r^2 * h, where r = 6 and h = 12:
V_cone = (1/3) * π * 6^2 * 12 = 144π
To find the volume of the sphere, we use the formula V = (4/3) * π * r^3, where r = 6:
V_sphere = (4/3) * π * 6^3 = 288π
The difference in volume between the cone and sphere is:
V_sphere - V_cone = 288π - 144π = 144π
Therefore, the volume of the cone is 144π 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 ㅠ)
A The volume of a cone and sphere with the same radius (r = 6) is equal.
B The volume of the cone is 204pi*c * m ^ 3 larger than the volume of the sphere.
C The volume of the sphere is 204pi*c * m ^ 3 larger than the volume of the cone.
D The volume of the sphere is 288pi*c * m ^ 3 larger than the volume of the cone.
1 answer
1 answer