Question

What is the volume of this right cone?

A. 40 π m^3

B. 300 π m^3

C. 400 π m^3

D. 480 π m^3

Answer 1

For this case we have that by definition, the volume of a cone is given by:

`V = \frac {1} {3} \pi * r ^ 2 * h`

Where:

r: It is the radius of the cone

h: It is the height of the cone

According to the statement data we have:

`r = 10 \ cm\\h = 12 \ cm`

So, the volume is:

`V = \frac {1} {3} \pi * (10) ^ 2 * 12\\V = \frac {1} {3} \pi * 100 * 12\\V = \frac {1} {3} \pi * 1200\\V = 400 \pi`

Thus, the volume of the cone is:
`V = 400 \pi \ cm ^ 3`

Answer:

`V = 400 \pi \ cm ^ 3`