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