Answer:
Volume of cylinder [tex]=11858.98ft^3[/tex]
Step-by-step explanation:
Given a right circular cylinder has a height of 19 3/4 ft and a diameter 1 2/5 times its height. We have to find the volume of cylinder.
[tex]Height,h=19\frac{3}{4}=\frac{79}{4}ft\\\\Diameter=1\frac{2}{5}of height=\frac{7}{5}\times\frac{79}{4}ft\\\\Radius=\frac{1}{2}(\frac{7}{5}\times\frac{79}{4})=\frac{7}{10}\times\frac{79}{4}ft[/tex]
[tex]Volume=\pi r^2h=3.14\times(\frac{7}{10}\times\frac{79}{4})^2\times\frac{79}{4}[/tex]
[tex]=11858.98ft^3[/tex]
