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

Calculate the volume of the composite solid. Round your answer to the nearest hundreth-example-1
User Jason Youk
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1 Answer

4 votes

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

User WiSaGaN
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