Question

What is the approximate volume of the cone?

Answer 1

Answer:

A. 1206 cm³

Step-by-step explanation:

We have a cone and are asked to find the approximate volume of it.

Keep in mind we are using π for 3.14

The forumla of a cone is V = πr²$\frac{h}{3}$

We know the radius = 12

and the height = 8

Substitute :

V = π12²$\frac{8}{3}$

Since these are multiplied with each other, we can first start off with multiplying the fraction, including with factoring 12²:

V = $\frac{2^4*3^2*8\pi }{3}$

Cancel the common factor - 3 :

V = $2^4 * 8 * 3\pi$

Multiply 8 and 3π :

V = $2^4 * 24\pi$

Solve the exponent :

V = $16 * 24\pi$

Multiply :

V = $384\pi$

Multiply for the final answer :

1205.76 cm³

which can be rounded up to

A. 1206 cm³