149k views
2 votes
A sphere and a cylinder have the same radius and height. The volume of the cylinder is 120 cubic inches. A sphere with height h and radius r. A cylinder with height h and radius r. What is the volume of the sphere? A.40 cubic inches B 90 cubic inches. C 160 cubic inches D 360 cubic inches

User Iuq
by
8.0k points

1 Answer

3 votes

Answer:

Option C. 160
inch^(3) is the correct answer.

Explanation:

We are given that height and radius of sphere and cylinder are same.

Radius 'r' and height 'h'.

We know that Volume of cylinder =
\pi r^(2) h

Also, h = r,

So, volume of cylinder =
\pi r^(3) = 120\ inch^(3) ...... (1)

Also, Volume of sphere =
(4)/(3) \pi r^(3)

Using equation (1), putting the value of
\pi r^(3)


\Rightarrow (4)/(3) * 120\\\Rightarrow 160\ inch^(3)

Hence, volume is sphere is option 3)
160\ inch^(3)

User Nabcos
by
7.5k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories