Question

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

Answer 1

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

Answer 2

Answer: $126\pi\ cm^3$

Step-by-step explanation:

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

For Cylinder,

Radius = $\frac{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 :-

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

Now, Volume of 2 hemisphere = $2\times18\pi=36\pi\ cm^3$

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

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