Question

A sphere with a radius of 6 cm has the same volume as a cone with a height ofn6 cm what’s the radius? 2,4,8,12

Answer 1

The volume of a sphere is given by V_sphere = (4/3)pi * r^3, where r is the radius of the sphere. The volume of a cone is given by V_cone = (1/3)pi * r^2 * h, where r is the radius of the cone and h is the height of the cone.

Given that the volume of the sphere is equal to the volume of the cone:

(4/3)pi * 6^3 = (1/3)pi * r^2 * 6

Simplifying:

r^2 = 6^3

r^2 = 216

r = √216

r ≈ 14.7 cm

Therefore, the radius of the cone is approximately 14.7 cm.