Find the volume of the cone.

Mathematics

1 answer:

juin [17]2 years ago

5 0

The answer is 48π units³ or 150.72 units³.

To find the volume of the cone, use the formula : <u>1/3 × πr²h</u>

We are given that r = 6 and h = 4.

Solving :

V = 1/3 × π × 6² × 4
V = 12 × 4 × π
V = 48π units³ (in terms of π)
V = 150.72 units³

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Sticking to either cosine or sine might help simplify the calculation. By the Pythagorean Theorem, $\sin^{2}{x} = 1 - \cos^{2}{x}$ . Therefore, for the square of tangents,

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