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2 votes
2 votes
The diameter of a cone is 34 ft. the height is 16 ft what is the volume in cubic ft?

User Ozma
by
2.7k points

2 Answers

12 votes
12 votes

Answer:

4,841.32 ft³.

Explanation:

Let’s assume that this is a right circular cone and that the radius of the cone is r.

For our problem, r = (1/2)d = (1/2)34 = 17.

The volume of the cone is:

V = (1/3)pi r^2 h, where r is the radius and h is the height.

So, V = (1/3)pi(17^2)16 = 4,841.32 ft³.

User Jlogan
by
2.6k points
19 votes
19 votes

Answer:

4842.24 cubic feet

Explanation:

Use the formula for the volume of a cone, V =
\pi
(h)/(3)

The diameter of the cone is 34 ft, so the radius is 17 ft.

Plug in the radius and height into the formula, and solve for the volume:

V =
\pi
(h)/(3)

V =
\pi(17)²
(16)/(3)

V =
\pi(289)
(16)/(3)

V = 4842.24

So, the volume of the cone is 4842.24 cubic feet

User Alanyst
by
3.0k points