Question

You are building a sand castle and want to use a bucket that holds a volume of 885 in.cubed and has height 11.7 in. What is the radius of the​ bucket? Use 3.14 for π.

Answer 1

`4.91 in`

Explanation:

a bucket has the form of a cylinder, which has the following formula for its volume:

`V=\pi r^2h`

where r is the radius and h is the height.

Since we need to find the radius, we solve for r:

`r^2=(V)/(\pi h)\\ \\r=\sqrt{(V)/(\pi h) }`

and since we know according to the problem that:

`V=885in^3`

and

`h=11.7in`

substituing these values:

`r=\sqrt{(885in^3)/((3.14)(11.7in))}\\ \\r=\sqrt{(885in^3)/(36.738in)}\\\\r=√(24.0895in^2)\\\\r=4.908in`

the radius is:
`4.908in` which can be rounded to
`4.91 in`