Question

Find the volume of a right circular cone

that has a height of 19 ft and a base with a
diameter of 18.7 ft. Round your
answer to
the nearest tenth of a cubic foot.

Answer 1

1/3 r^2h
1/3 x 9.35^2 x 19
1/3 5218.27 ft (rounded to 2 d.p)
volume =1739.42 ft (rounded to 2 d.p)

Answer 2

V = 31,667.8 cubic ft

Explanation:

The volume of a right circular cone can be calculated using the formula:

V = (π * r^2 * h) / 3

Where r is the radius of the base and h is the height of the cone.

First, let's find the radius:

r = diameter / 2 = 18.7 ft / 2 = 9.35 ft

Now, we can plug in the values for r and h into the formula:

V = (π * 9.35^2 * 19) / 3 = (π * 87.5295 * 19) / 3 = (1670.20355 * 19) / 3 = 31,667.76 cubic ft

Rounding to the nearest tenth of a cubic foot, we get:

V = 31,667.8 cubic ft