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

Answer: Volume = 174.71 cubic meters

Step-by-step explanation:

Hi, to answer this, first, we have to apply the formula for the circumference (C) of a circle.

C = 2πr

Substituting with c=19.4 in the formula, and solving for the radius (r)

19.4 = 2πr

19.4 / 2π = r

r = 3.09

Finally we apply the formula:

Volume of a right circular cone: 1/3 π r^2 h

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

Replacing with the values given and calculated:

V=1/3 π (3.09) ^2 (17.5)

V = 174.71 cubic meters