Question

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

Answer 1

Step-by-step explanation:

1/3 πr²h

Given

diameter (d) = 8ft

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

height (h) = 3 ft

Volume of cone

$\frac{1}{3} \times \pi {r}^{2} h$

$\frac{1}{3} \times 3.14 \times {4}^{2} \times 3$

$\frac{150.72}{3}$

=50.24 ft³

Answer 2

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