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Ilya [14]
3 years ago
8

The height of a cone is twice the radius of its base.

Mathematics
1 answer:
lara [203]3 years ago
6 0

Answer:

A. \frac{2}{3} \pi x^3

Step-by-step explanation:

From the way the answers are presented, it can be seen that x refers to the radius of the base of the cone

radius: x

and we are told that the height is twice the radius, so:

height: 2x

and now we use the formula to calculate the volume of a cone:

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

where V is volume, r is radius, and h is the height. and \pi is a constant

in this case

r=x

h=2x

so we substitute thisvalues  in the formula for the volume:

V=\frac{\pi x^2(2x)}{3}

Rearranging the terms

V=\frac{2\pi x^3}{3} \\V=\frac{2}{3} \pi x^3

which is option A.

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