Respuesta :
Answer:
The volume of cylinder is:
49806.06 ft^3
Step-by-step explanation:
We are given a right circular cylinder with:
Height(h)=[tex]22\frac{1}{4}ft=\dfrac{89}{4}ft[/tex]
and a diameter is [tex]2\frac{2}{5}[/tex] times it's height.
i.e. [tex]\dfrac{12}{5}[/tex] times it height.
i.e. the diameter is given as:
[tex]\dfrac{12}{5}\times \dfrac{89}{4}=\dfrac{267}{5}ft.[/tex]
We know that the radius of cylinder is half the diameter.
Hence, radius(r) of cylinder is:
[tex]\dfrac{1}{2}\times \dfrac{267}{5}\\\\=\dfrac{267}{10}[/tex]
The volume(V) of cylinder is given by:
[tex]V=\pi r^2h[/tex]
[tex]V=3.14\times (\dfrac{267}{10})^2\times \dfrac{89}{4}\\\\V=\dfrac{19922423.94}{400}\\\\V=49806.06ft^3[/tex]
Hence, the volume of cylinder is:
49806.06 ft^3
