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.

Answer 1

Answer:

Step-by-step explanation:

The volume of a cone is

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

Filling in what we have:

$104.67=\frac{1}{3}(3.14)r^2(4)$  and simplifying a bit:

$104.67=\frac{1}{3}(12.56)r^2$

Multiply both sides by 3 to get:

$314.01=12.56r^2$

Divide both sides by 12.56 to get:

$25.00079618=r^2$ and take the square root of both sides to find the radius:

r = 5

If the radius is 5 and the radius by definition is half the diameter, then the diameter is 10 inches.