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