Question

A cylinder with a height of 12 cm is inscribed in a sphere with a radius of 10 cm. Find the lateral area of the cylinder. Answer in terms of π.

Answer 1

256π

Explanation:

Given that:

The height of the cylinder: 12 cm

The radius of the sphere : 10

Let r is the radius of the cylinder, use Pytagon

10² = r² + 6²

<=> r² = 10² - 6² = 64

<=> r = 8

Hence, the lateral area of the cylinder

L= 2πrh

= 2π8*16

= 256π