Question

Calculate the volume of the composite solid. Round your answer to the nearest hundreth

Answer 1

For this case we have that by definition, the volume of a cylinder is given by:

$V = \pi * r ^ 2 * h$

Where:

V: It's the volume

A: It is the radius of the cylinder

h: It is the height of the cylinder

We have to:

$V = \pi * (7.2) ^ 2 * 12\\V = \pi * 51.84 * 12\\V = 1954.32195794513 \ m ^ 3$

On the other hand, the volume of the cone is given by:

$V = \frac {\pi * r ^ 2 * h} {3}$

V: It's the volume

A: It is the cone radius

h: It is the height of the cone

We have:

$V = \frac {\pi * (7.2) ^ 2 * 11} {3}\\V = \frac {\pi * 51.84 * 11} {3}\\V = 597.153931594347 \ m ^ 3$

Thus, the total volume is given by:

$V = 2551.47588954 \ m ^ 3$

If we round up we have:

$V = 2551.48 \ m ^ 3$

Answer:

$V = 2551.48 \ m ^ 3$