Answer:
Volume of cylinder is 34833.21 ft³
Step-by-step explanation:
Given : A right circular cylinder having height [tex]19\frac{3}{4}[/tex] ft and diameter [tex]\frac{12}{5}[/tex] times its height.
Given : diameter [tex]\frac{12}{5}[/tex] times its height that is
diameter [tex]\frac{12}{5}[/tex] times [tex]19\frac{3}{4}[/tex] that is
Diameter = [tex]\frac{12}{5} \times \frac{79}{4}[/tex]
Diameter = [tex]\frac{237}{5}[/tex] ft
Radius is half of diameter,
Radius = [tex]\frac{1}{2} \times \frac{237}{5}=\frac{237}{10}[/tex] ft
[tex]\text{Volume of Cylinder}=\pi r^2h[/tex]
Substitute the values, we get,
[tex]\text{Volume of Cylinder}= \pi (\frac{237}{10})^2 \times \frac{79}{4}[/tex]
[tex]\text{Volume of Cylinder}= \times 3.14 \times (23.7)^2 \times 19.75[/tex]
[tex]\text{Volume of Cylinder}= \times 3.14 \times (23.7)^2 \times 19.75[/tex]
[tex]\text{Volume of Cylinder}=34833.21[/tex]
Thus, volume of cylinder is 34833.21 ft³
