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Help me with the question for geometry please

answer choices:
74.7
86.8
59.8
67.4

Help me with the question for geometry please answer choices: 74.7 86.8 59.8 67.4-example-1
User Asdru
by
7.7k points

1 Answer

3 votes

Answer:

(b) 86.8 ft³

Explanation:

You want the volume of a cone with a slant height of 8 ft and a vertex angle of 50°.

Radius

The radius of the cone will be ...

Sin = Opposite/Hypotenuse

sin(25)° = radius/(8 ft)

radius = (8 ft)·sin(25°)

Height

The height can be found from ...

Cos = Adjacent/Hypotenuse

cos(25°) = height/(8 ft)

height = (8 ft)·cos(25°)

Volume

The volume of the cone is given by ...

V = 1/3πr²h

V = 1/3π(8·sin(25°))²(8·cos(25°)) ≈ 86.8 . . . . cubic feet

The volume of the cone is about 86.8 cubic feet.

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Help me with the question for geometry please answer choices: 74.7 86.8 59.8 67.4-example-1
User Dundar
by
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