Chapter 12, Problem 7PT

To determine

To calculate:To find the maximum amount of milk that can fit in the bowl.

Answer to Problem 7PT

The maximum amount of milk that can fit in the bowl is $268.19i{n}^3$

Explanation of Solution

Given information:The inside of the cereal bowl is in the shape of a hemisphere

  

Formula Used:

Volume of hemisphere is given as

  $Volume=\frac{2}{3}\pi r^3$

Calculation:

Given that the inside of the cereal bowl is in the shape of a hemisphere

  

Now, the amount of water that can fit into bowl is equal to volume of hemisphere

Here, the dimensions of bowl:

  $Radius=4in.$

Volume of bowl is calculated as follows:

  $Volume=\frac{2}{3}\pi r^3$

Substituting the values, volume is

  $\begin{array}{l}Volume=\frac{2}{3}\pi {\left(4\right)}^3\\ Volume=\frac{2}{3}\times \frac{22}{7}\times {\left(4\right)}^3\\ Volume=\frac{2}{3}\times \frac{22}{7}\times {\left(4\right)}^3\\ Volume=268.1904\\ Volume\approx 268.19i{n}^3\end{array}$

Conclusion:

Hence, the maximum amount of milk that can fit in the bowl is $268.19i{n}^3$