Chapter 12, Problem 30SGR

To determine

To find the volume of cement poured into a hemisphere.

Answer to Problem 30SGR

56.52 cubic centimeters

Explanation of Solution

Given:

A hemisphere:

Diameter, $(d)=6$ centimeters

Radius, $(r)=\frac{d}{2}$

  $\Rightarrow r=\frac{6}{2}$

  $\Rightarrow r=3$ centimeters

Formula used:

Volume of a hemisphere $=\frac{2}{3}\pi r^3$ , where $r$ is the radius of the hemisphere.

Calculation:

For the volume of the given hemisphere, use the below formula.

  $V=\frac{2}{3}\pi r^3$

Putting the value of $r$ ,

  $\Rightarrow \frac{2}{3}\times 3.14\times {(3)}^3$

  $\Rightarrow 56.52$

  $\Rightarrow V=56.52$ cubic centimeters

Now, Volume of hemisphere $=$ Volume of cement poured into the hemisphere.

So,

Volume of cement poured into the hemisphere $=56.52$ cubic centimeters.

Conclusion:

Hence, the volume cement poured into the hemisphere is 56.52 cubic centimeters.