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Liono4ka [1.6K]
3 years ago
12

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

lume of the sphere is 972π cubic units. Find the volume of the cylinder.
Mathematics
1 answer:
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

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