Question

Find the volume of a cylinder with a diameter of $14$ inches and a height of $18$ inches. (use $\pi =22/7$)

• A. $4252{in}^3$
• B. $4222{in}^3$
• C. $2252{in}^3$
• D. $2772{in}^3$

Answer 1

The correct option is D $2772{in}^3$

Volume of cylinder is $V=\pi r^{2}h$

Here, the diameter is $14$ in and therefore, the radius is half of diameter that is $r=7$ in and height is $18$ in.

Thus,

$V=\pi r^{2}h=\frac{22}{7}\times {\left(7\right)}^2\times 18=\frac{22}{7}\times 49\times 18=22\times 7\times 18=22\times 7\times 18=2772$ in${}^3$

Hence, the volume of the cylinder is $2772$ in${}^3$.