Question

Find the volume of the composite solid. My answer for some reason doesn’t seem to match what’s on the key. The answer I got was 871.26, but the answer on the key is 871.27.

Answer 1

Given:

A composite solid

Required:

To calculate volume

Explanation:

We consider this solid in two parts one is cone second is cylinder

then gonna add both volume.

$\begin{gathered} volume\text{ of cone=}\frac{\pi}{3}r^2h\text{ =}\frac{3.14\times4\times4\times7}{3}=117.29 \\ we\text{ use } \\ \pi=3.14\text{ r=4 h=7 in the above equation.} \end{gathered}$$volume\text{ of cylinder=}\pi r^2h=3.14\times4\times4\times15=753.98$

Total volume=117.29+753.98=871.27

Required answer:

871.27