Q:

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

Accepted Solution

A:
For this case we have that by definition, the volume of a cylinder is given by:[tex]V = \pi * r ^ 2 * h[/tex]Where:V: It's the volumeA: It is the radius of the cylinderh: It is the height of the cylinderWe have to:[tex]V = \pi * (7.2) ^ 2 * 12\\V = \pi * 51.84 * 12\\V = 1954.32195794513 \ m ^ 3[/tex]On the other hand, the volume of the cone is given by:[tex]V = \frac {\pi * r ^ 2 * h} {3}[/tex]V: It's the volumeA: It is the cone radiush: It is the height of the coneWe have:[tex]V = \frac {\pi * (7.2) ^ 2 * 11} {3}\\V = \frac {\pi * 51.84 * 11} {3}\\V = 597.153931594347 \ m ^ 3[/tex]Thus, the total volume is given by:[tex]V = 2551.47588954 \ m ^ 3[/tex]If we round up we have:[tex]V = 2551.48 \ m ^ 3[/tex]Answer:[tex]V = 2551.48 \ m ^ 3[/tex]