Question

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

441π m3 147π m3 220.5π m3 294π m3

Answer 1

147
`\pi`m^3

Explanation:

Answer 2

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