Question

The figure is made up of 2 hemispheres and a cylinder.

What is the volume of this figure?


126π in.³

378π in.³

396π in.³

648π in.³

Answer 1

The answer is C.396 Hope this helps. :) Just took the quiz.

Answer 2

Answer:
`126\pi\ cm^3`

Explanation:

In the given figure, we have a cylinder and 2 hemisphere with same diameter.

For Cylinder,

Radius =
`(6)/(2)=`3 inch

Height = 10 inch

Volume of cylinder is given by :-

`\text{Volume of cylinder}=\pi r^2h\\\\\Rightarrow\ \text{Volume of cylinder}=\pi3^2(10)\\\\\Rightarrow\\text{Volume of cylinder}=90\pi\ cm^3`

For hemisphere,

Radius = 3 inch

Volume of hemisphere is given by :-

`\text{Volume of hemisphere}=(2)/(3)\pi r^3\\\\\Rightarrow\ \text{Volume of hemisphere}=(2)/(3)\pi(3)^3\\\Rightarrow\text{Volume of hemisphere}=18\pi\ cm^3`

Now, Volume of 2 hemisphere =
`2*18\pi=36\pi\ cm^3`

Volume of figure = Volume of cylinder+Volume of 2 hemisphere

`=90\pi\ cm^3+36\pi\ cm^3=126\pi\ cm^3`