Question

What is the volume of a cone with diameter 21 m and height 4 m?

Answer 1

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

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

Where:

A: It is the cone radius

h: It's the height

They tell us that the diameter is 21 m, then the radius is half the diameter, that is: 10.5m. The height is 4m. Substituting the data:

$V = \frac {1} {3} * \pi * (10.5) ^ 2 * 4\\V = \frac {1} {3} * \pi * 110.25 * 4\\V = 147 \pi$.

Finally, the volume of the cube is$147 \pi \ m ^ 3$

ANswer:

Option B