Question

The volume of this cylinder is 32π yd2. Find the height.

Answer 1

The radius of the can is
4 inches.

Explanation:
The formula for volume of a cylinder is:
V=πr2h

Since we know the volume and the height of the can, we can determine the radius.
32
π
=
π
r
2
×
2
Cancelling the similar terms on either side, we get.
32
π
=
π
r
2
×
2
32
=
r
2
×
2
Divide both sides by
2
.
16
=
r
2
Square both sides, remembering that the result has to be a positive integer.
4
=
r
Hence the radius of the cylindrical can is
4
inches.