Chapter 12.3, Problem 30STP

To determine

Maximum volume of cylinder.

Answer to Problem 30STP

option (c) is the correct answer that is volume of cylinder is $1.41m^3$ .

Explanation of Solution

Given:

Radius of the cylinder diesel tank $=1.25m$

Height of the cylinder diesel tank $=0.60m$

Given options:

  $4.71m^3$

  $2.01m^3$

  $1.41m^3$

  $1.20m^3$

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 cylindrical diesel tank is calculated by,

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

Put the given values In formula

  $V=\pi {\left(0.60\right)}^2\left(1.25\right)$

  $\begin{array}{l}V=\pi \left(0.36\right)\left(1.25\right)\\ V=\pi \times 2.44\times 0.60\\ V=1.41m^3\end{array}$

Thus volume of cylinder is $1.41m^3$

Conclusion:

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