Chapter 12.3, Problem 27STP

To determine

Maximum amount of water that can fill the through.

Answer to Problem 27STP

so the option (b) is the correct answer that is volume of cylinder is $24.5f{t}^3$ .

Explanation of Solution

Given:

Diameter of the cylinder $=2.5ft$

Length of the cylinder $=10ft$

Given options:

  $20.5f{t}^3$

  $24.5f{t}^3$

  $48f{t}^3$

  $49f{t}^3$

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

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

  $V=\pi {\left(1.25\right)}^2\left(10\right)$

  $V=49.08f{t}^3$

Thus volume of cylinder is $49.08f{t}^3$

Now divide he volume by $2$

So the answer will be,

  $\begin{array}{l}=\frac{49.08f{t}^3}{2}\\ =24.54f{t}^3\end{array}$

Conclusion:

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