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.

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 = [tex] \pi r^2h [/tex]

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

= [tex] \pi r^2h [/tex]

= [tex] \pi (3/2)^2 (4) [/tex]

= [tex] \pi (9/4) 4 [/tex]

= [tex] 36\pi /4 [/tex]

= [tex] 9\pi [/tex]

Volume of the cylinder = [tex] 9\pi yd^3 [/tex] = 27.3 yd³