199k views
5 votes
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.

<95141404393>

Help me with the question for geometry please answer choices: 74.7 86.8 59.8 67.4-example-1
User Dundar
by
8.0k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories