Chapter 12.3, Problem 28STP

To determine

Volume of cylinder.

Answer to Problem 28STP

option (j) is the correct answer that is volume of cylinder is $2412.7i{n}^3$ .

Explanation of Solution

Given:

Radius of the cylinder $=8inches$

Height of the cylinder $=1ft=12inches$

Given options:

  $25.1i{n}^3$

  $201.1i{n}^3$

  $301.6i{n}^3$

  $2412.7i{n}^3$

Concept Used:

Volume of cylinder is calculated by,

  $V=\pi {\left(r\right)}^2\left(h\right)$

Where,

  $V=$ volume of cylinder.

  $r=$ radius of cylinder.

  $h=$ height of cylinder.

Calculation:

Volume of cylinder is calculated by,

  $V=\pi {\left(r\right)}^2\left(h\right)$

Put the given values In formula

  $V=\pi {\left(r\right)}^2\left(h\right)$

  $V=\pi {\left(8\right)}^2\left(12\right)$

  $V=2412.7i{n}^3$

Thus volume of cylinder is $2412.7i{n}^3$

Conclusion:

Thus, so the option (j) is the correct answer.