Find the volume of a right circular cone that has a height of 17.5 m and a base with a circumference of 19.4 m. Round your answer to the nearest tenth of a cubic meter.

Answer 1

We can start by using the formula for the circumference of a circle to find the radius of the base. The formula is:

C = 2πr

where C is the circumference and r is the radius.

We know that the circumference is 19.4 m, so we can solve for r:

19.4 = 2πr

r = 19.4 / (2π) ≈ 3.09 m

Now we can use the formula for the volume of a right circular cone, which is:

V = (1/3)πr^2h

where V is the volume, r is the radius of the base, and h is the height.

Plugging in the values we have, we get:

V = (1/3)π(3.09^2)(17.5)
V ≈ 56.7 cubic meters

Rounding to the nearest tenth, we get:

V ≈ 56.7 m^3

Therefore, the volume of the cone is approximately 56.7 cubic meters.