Question

An artist creates a​ cone-shaped sculpture for an art exhibit. If the sculpture is 6 feet tall and has a base with a circumference of 20.236 ​feet, what is the volume of the​ sculpture? Use 3.14 for .pi

Answer 1

Answer:

V = 65.19

Step-by-step explanation:

Remark

You need r. You can get it from the circumference of the circular base.

Once you have that, the formula is Area = 1/3 pi r^2 j

Givens

C = 20.236

h = 6 feet

Formulas

C = 2 pi r

Volume = 1/3 pi r^2 h

Solution

Find r from C = 2 pi r

20.236 = 2 * 3.14 * r                   Combine the right

20.236 = 6.28 * r                        Divide by 6.28

20.236/6.28 = 6.28 * r / 6.28

3.222 = r

Now that you have r, you can solve for the volume

V = (1/3) pi 3.222^2 * 6                 Square r

V = 1/3 * pi * 10.381 * 6                  Now multiply through by all, but pi

V = 20.762 pi

V = 65.194