Question

Find the volume of the cone shown:

Answer 1

Answer:

C

Step-by-step explanation:

The volume of the cone can be calculated using formula

$V=\dfrac{1}{3}\cdot \pi r^2 h,$

where h is the height of the cone, r is the base radius.

In your case, h=24 un., r=7 un. So

$V=\dfrac{1}{3}\cdot \pi \cdot 7^2\cdot 24=49\cdot 8\pi=392\pi \ un^3.$

Answer 2

ANSWER

C.

$392\pi \: {units}^{3}$

EXPLANATION

The volume of a cone is calculated using the formula:

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

The radius of the cylinder is

r=7 units.

The height is 24 units.

We substitute these values into the formula to obtain:

$V= \frac{1}{3} \times \pi \times {(7)}^{2} \times 24$

$V = 392\pi \: {units}^{3}$