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GalinKa [24]
3 years ago
12

What is the approximate volume of the cone?

Mathematics
1 answer:
Mnenie [13.5K]3 years ago
3 0

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

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