Question

Find the diameter of a cone that has a volume of 104.67 cubic inches and a height of 4 inches. Use 3.14 for pi.

a. 4 inches

b. 6 inches

c. 8 inches

d. 10 inches

Answer 1

Volume of cone = 1/3 pi r^2^h
104.67 = 1/3 x 3.14 x 4 x r^2
r^2 = 104.67/4.187 = 25
r = sqrt(25) = 5 inches
diameter = 2r = 2(5) = 10 inches.

Answer 2

The volume of a cone is calculated by multiplying the area of the base and the height divided by 3. It is expressed as follows:

V = πr²(h/3)

We calculate as follows:

104.67 = πr²(4/3)
r = 5.00 in
D = 2r = 2 x 5.00 = 10.00 inches