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