Chapter 12.6, Problem 23HP

To determine

To write: The two real world examples in which the volume of the cylinders remains same while changing the dimensions.

Answer to Problem 23HP

The two real world examples are given below.

Explanation of Solution

Calculation:

Let’s consider the first example.

Person A purchase a cylindrical shaped container to store milk. The height of the container is 7 centimeters and radius 4 centimeters. How much milk he can store in the container?

In the above question, calculate the volume of the container.

  $\begin{array}{c}\text{Volume}=\pi {\left(4\right)}^{2}7\\ =\frac{22}{7}\times 16\times 7\\ =352{\text{cm}}^3\end{array}$

Therefore, Pearson A can store $352{\text{cm}}^3$ milk.

Let’s consider the second example.

A cylinder has radius of 7 centimeters and height $\frac{16}{7}$ centimeters. Calculate the volume of the cylinder.

In the above question, calculate the volume of the cylinder.

  $\begin{array}{c}\text{Volume}=\pi {\left(7\right)}^2\left(\frac{16}{7}\right)\\ =22\times 16\\ =352{\text{cm}}^3\end{array}$

From the above examples, it is clear that the volume is same in both the case while the dimensions has been changed.

Conclusion:

Therefore, the two real world examples are given above.