Question

The diameter of a cylinder is 3 yd. the height is 4 yd. find the volume of the cylinder in terms of pi and to the nearest tenth.

Answer 1

The diameter of the cylinder given = 3 yd.

the height given = 4 yd.

The radius is half of the diameter. So, the radius of the cylinder = (3/2)yd.

The formula to find the volume of the cylinder =
`\pi r^2h`

Where, r = radius, and h = height.

Now we can find the volume by plugging in the values of r and h in the formula.

The required volume of the cylinder

=
`\pi r^2h`

=
`\pi (3/2)^2 (4)`

=
`\pi (9/4) 4`

=
`36\pi /4`

=
`9\pi`

Volume of the cylinder =
`9\pi yd^3` = 27.3 yd³