Question

A cone has a diameter of 8ft and height of 3ft. What’s the volume?

Answer 1

The cone formula is V=1/3(pi*r^2)h, plug in what you know 150pi=1/3(pi*r^2)8.

Multiply both sides by 3: 450pi=(pi*r^2)8

Divide by 8: 56.25pi=pi*r^2

Divide by pi: 56.25=r^2

Square root both sides: 7.5=r

Multiply by 2 to find diameter: d=15

Answer 2

Explanation:

1/3 πr²h

Given

diameter (d) = 8ft

radius (r) = d/2 = 8/2 = 4 ft

height (h) = 3 ft

Volume of cone

`(1)/(3) * \pi {r}^(2) h`

`(1)/(3) * 3.14 * {4}^(2) * 3`

`(150.72)/(3)`

=50.24 ft³