Question

A sphere with a radius of 10 centimeters is inscribed in a right cylinder. What is the volume of the right cylinder in terms of ?

A) 200pi cm^3
B) 500pi cm^3
C) 1,000pi cm^3
D) 2,000pi cm^3

Answer 1

well, that means that the sides and top are toutching the sphere

radius of sphere=10 so radius of cylinder=10
the height is the diameter or 20

V=hpir^2
v=20pi10^2
v=20pi100
v=2000pi

answer is D

Answer 2

Option D is correct.

Explanation:

Given Radius of Sphere, r = cm and sphere is inscribed in cylinder.

We have to find volume of cylinder.

For given condition Pic is attached.

From pic,

radius of cylinder is same as of sphere that is r = 10 cm

height of the cylinder, h = diameter of sphere = 2 × 10 = 20 cm

Volume of cylinder = πr²h

Volume = π × 10² × 20 = 100 × 20 × π = 2000π cm³

Therefore, Option D is correct.