Answer:
Volume of a right circular cylinder is given by:
[tex]V = \pi r^2 h[/tex] .....[1] where
V represents the volume of a cylinder.
r represents the radius of a cylinder.
h represents the height of a cylinder.
As per the given statement:
Diameter(D) = 19.6 yd and height(h) = 23.52 yd.
Diameter = 2r where r is the radius of the cylinder.
[tex]r = \frac{D}{2}[/tex]
[tex]r = \frac{19.6}{2} = 9.8 yd[/tex]
Substitute these given values in [1] we have;
[tex]V = 3.14 \times (9.8)^2 \times 23.52[/tex] cubic yard
[tex]V = 3.14 \times 96.04 \times 23.52[/tex]
Simplify:
V = 7,092.82291 cubic yard.
Therefore, volume of a circular cylinder to the nearest hundredths is, 7092.82 cubic yard.
