Question

Find the volume of the composite solid.

Round your answer to the nearest tenth if necessary.

Answer 1

Step 1: Volume of composite solid = Volume of cone $1$ + Volume of cone $2$

Step 2:

Volume of composite solid

$\begin{array}{rcl}V& =& \frac{1}{3}\mathrm{\pi }{\left(6\right)}^{2}18+\frac{1}{3}{\left(6\right)}^{2}12=216\mathrm{\pi }+144\mathrm{\pi }\\ & =& 360\mathrm{\pi }\end{array}$

Step 3:

Substitute the value of $\mathrm{\pi }$

Volume of composite solid $V=1130.97$

Hence the Volume of composite solid is $1131{\mathrm{m}}^3$