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

Question

2 years ago

15

in terms of π.

1 answer:

zalisa [80] · Answer 1 · 2022-08-05T08:46:56+03:00

Answer:

256π

Step-by-step 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