Mathematics: Acylinder has a radius of 3 feet and a height of 7 feet. which of the following can be used to calculate the volume of a cone that fits exactly inside the cylinder?

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Acylinder has a radius of 3 feet and a height

abbeyeasterwood

16.01.2022

The formula $\frac{1}{3}\times3.14\times3\times3\times7$ is used to find the cone volume.

Step-by-step explanation:

We know that the radius of cylinder is = 3 feet

Height of the cylinder is = 7 feet

Its volume can be found as :

$v=\pi r^{2}h$

= $3.14\times3\times3\times7=197.82$ cubic feet

Now, volume of cone is given as :

$v=\frac{1}{3} \pi r^{2} h$

This means, the volume of cone is one-third the volume of cylinder.

So, the volume of cone that can fit in the cylinder will be one-third the volume of cylinder.

$\frac{1}{3}\times3.14\times3\times3\times7 = 65.94$ cubic feet

If we want to check we can say that the volume of cylinder is three times cone. $65.94\times3=197.82$

Therefore, a cone with volume 65.94 cubic feet will fit into a cylinder with volume 192.82.

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