Question

3V
The radius of a cone can be found using the formula r = V, where V stands for the volume of the cone and h stands for the height. If
r = 3, h = 8, and is 3.14, find the volume (V). Round the answer to the nearest hundredths place.
O 25.12 cubic units
O 50.24 cubic units
O 1,893.04 cubic units
075.36 cubic units

Answer 1

The volume of the cone is (d) 75.36 cubic units

How to determine the volume?

The given parameters are:

$r = \sqrt{\frac{3V}{\pi h}}$

Where:

r = 3

h = 8

Substitute these values in the above equation

$3 = \sqrt{\frac{3V}{3.14 * 8}}$

Evaluate the product

$3 = \sqrt{\frac{3V}{25.12}}$

Square both sides

$9 = \frac{3V}{25.12}$

Divide both sides by 3

$3 = \frac{V}{25.12}$

Multiply both sides 25.12

V = 75.36

Hence, the volume of the cone is (d) 75.36 cubic units

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