Question

A right circular cylinder has a height of ​ 19 3/4 ​ ft and a diameter ​ 1 2\5 ​ times its height.

Answer 1

Answer:

Volume of cylinder is  34833.21 ft³

Step-by-step explanation:

Given : A right circular cylinder having height $19\frac{3}{4}$ ft and diameter $\frac{12}{5}$ ​times its height.

Given : diameter $\frac{12}{5}$ ​times its height that is

diameter $\frac{12}{5}$ ​times  $19\frac{3}{4}$  that is

Diameter = $\frac{12}{5} \times \frac{79}{4}$ ​

Diameter = $\frac{237}{5}$ ft

Radius is half of diameter,

Radius = $\frac{1}{2} \times \frac{237}{5}=\frac{237}{10}$ ft

$\text{Volume of Cylinder}=\pi r^2h$

Substitute the values, we get,

$\text{Volume of Cylinder}= \pi (\frac{237}{10})^2 \times \frac{79}{4}$

$\text{Volume of Cylinder}= \times 3.14 \times (23.7)^2 \times 19.75$

$\text{Volume of Cylinder}= \times 3.14 \times (23.7)^2 \times 19.75$

$\text{Volume of Cylinder}=34833.21$

Thus, volume of cylinder is  34833.21 ft³