Question

A truck hauled 208 cubic feet of sand to a construction site the sand is dumped into a cone shaped pile of 10 feet

What’s the approximate diameter

Answer 1

8.92 feet

Explanation:

The formula for finding volume is:

V = pi*r^2*h/3

Since you have to find the diameter, you need to do the inverse.

208 = pi*r^2*10/3

So 208 divided by pi equals 66.21

Then 66.21 divided by 10 is 6.621

You then multiply 6.621 by 3, and get 19.863

Finally you have to find the square root of 19.863, and you get 4.46

The radius is 4.46 and since the radius is half the diameter, you multiply 4.46 by 2.

4.46*2 = 8.92

The diameter is 8.92 feet

Answer 2

8.9 feet to the nearest tenth.

Explanation:

The volume of a cone is 1/3 π r^2 h where r = the radius of the base and h = the height.

So we have the equation:

208 = 1/3 π r^2 10

r^2 = 208 / (1/3 * π * 10)

r^2 = 19.85 sq feet

so r = √19.86

= 4.457 feet.

So the diameter = 2 * 4.457 = 8.914 feet.