Respuesta :

frika

Answer:

C

Step-by-step explanation:

The volume of the cone can be calculated using formula

[tex]V=\dfrac{1}{3}\cdot \pi r^2 h,[/tex]

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

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

[tex]V=\dfrac{1}{3}\cdot \pi \cdot 7^2\cdot 24=49\cdot 8\pi=392\pi \ un^3.[/tex]

kudzordzifrancis

ANSWER

C.

[tex] 392\pi \: {units}^{3} [/tex]

EXPLANATION

The volume of a cone is calculated using the formula:

[tex]V= \frac{1}{3} \pi {r}^{2} h[/tex]

The radius of the cylinder is

r=7 units.

The height is 24 units.

We substitute these values into the formula to obtain:

[tex]V= \frac{1}{3} \times \pi \times {(7)}^{2} \times 24[/tex]

[tex]V = 392\pi \: {units}^{3} [/tex]

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