A sphere is placed in a cylinder such that the sphere touches (is tangent to) the top, bottom, and sides of the cylinder. The vo

Question

3 years ago

12

lume of the sphere is 972π cubic units. Find the volume of the cylinder.

1 answer:

Leona [35] · Answer 1 · 2022-04-08T19:34:10+03:00

Leona [35]3 years ago

8 0

Answer:

Volume of the cylinder = 729π

Step-by-step explanation:

Volume of the sphere = 4/3πR^3 = 972π

The radius of the sphere is evaluated.

R = 9 unit

H = 9

Hence volume of the cylinder = πR^2H = π x 9 x 9 x 9 = 729π