Question

describe the relationship between a cylinder and a sphere with the same base area and perpendicular height.

Answer 1

Given:

A cylinder and a sphere have the same base area and perpendicular height.

To find:

Describe the relationship between a cylinder and a sphere with the same base area and perpendicular height.

Solution:

The lateral surface area of the cylinder is 2πrh where h = 2r .

Lateral Surface Area of the Cylinder = 2πr(2r) = 4πr² .

Therefore, the Surface Area of a Sphere with radius r equals 4πr²

The lateral surface area of the cylinder is equal to the surface area of a sphere.