Chapter 12, Problem 12RP

To determine

To Calculate: The volume of a cylinder

Answer to Problem 12RP

The volume of a cylinder is $48\pi$

Explanation of Solution

Given information:

The area of each circle is $16\pi$

The rectangle has an area of $24\pi$

Formula used:

Here, we are using the formula:

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

(Where, r is radius)

Calculation:

Here, area of circle = $16\pi$

  $\pi r^2=16\pi$

  $r=4$

And, area of rectangle = $24\pi$

  $l\times b=24\pi$

(Where l is length and b is breadth)

and, b is $2\pi r$

So that, $l\times 2\pi r=24\pi$

  $l=3$

Hence, volume of cylinder = $\pi r^{2}h$

(Where, r is radius)

  → $\pi \times 16\times 3$

  → $48\pi$

Conclusion: Hence, the volume of a cylinder is $48\pi$