A right circular cylinder has a height of 19 3/4 ft and a diameter 1 2/5 times its height.What is the volume of the cylinder?Enter your answer in the box. Use 3.14 for pi and round only your final answer to the nearest hundredth.
Accepted Solution
A:
Answer:Volume of cylinder is 34833.21 ft³Step-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 isDiameter = [tex]\frac{12}{5} \times \frac{79}{4}[/tex] Diameter = [tex]\frac{237}{5}[/tex] ftRadius 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