Question

From The diagram the cylinder container is used to fill the regular risum container with water what is the number of cylinder container of water near to completely fill the container

Answer 1

41.13

Explanation

Step 1

find the volume of the cylinder, the volume of a cylinder is given by:

$\begin{gathered} \text{Volume}_c=(area\text{ of the circle)}\cdot heigth \\ \text{Volume}_c=(\frac{\pi}{4}\cdot diameter^2)\cdot heigth \end{gathered}$

Let

diameter=8

heigth=13

then

$\begin{gathered} \text{Volume}_c=(\frac{\pi}{4}\cdot8^2)\cdot13 \\ \text{Volume}_c=\frac{\pi}{4}\cdot64\cdot13 \\ \text{Volume}_{_c}=208\pi=653.45\text{ cubic inches} \end{gathered}$

Step 2

find the volume of the rectangular prism, the volume is given by:

$\text{Volume}=\text{wide}\cdot\text{depth}\cdot\text{length}$

Let

wide=32 in

depth=21 in

length=40 in

then

$\begin{gathered} \text{Volume}=32\text{ in}\cdot21\text{ in}\cdot40\text{ in} \\ \text{Volume}=26880\text{ cubic inches} \end{gathered}$

Step 3

finally, compare the volumes to figure out number of cylinder container of water near to completely fill the

$\frac{volume\text{ of cylinder}}{\text{volume of prism}}=\frac{26880in^3}{653.45in^3}=41.13$

it means you need 41.13 cilynders to fill the container.

I hope this helps you