Question

a cylindrical can is used to fill a fish tank. the fish tank is a rectangular prism with a height of 30 inches, a width of 30 inches, and a length of 60 inches. the can has a diameter of 6 inches and a height of 8. what is the maxim number of full cans of water that can be poured into the fish tank without the water overflowing.

Answer 1

so you need to do L×W×H
L=length
W=width
H=height
then you get your answer

Answer 2

Given:

Cylindrical can:

`Diameter =6\;inches\\Height = 8\; inches`

Fish tank (Rectangular Prism)

`Length \; = 60 \; inches \\ Width \; = 30 \; inches \\ Height \; = 30 \; inches`

Formula Used:

`Volume \; of \; cylinder \;= \;\pi r^2h\\\\Volume\; of \; Rectangular\; Prism \; =\; L \cdot W \cdot H\\\\Where:\\\ \; r \; is\; radius\; of\; cylinder, h\; is\; height\; of\; cylinder\\\\L \; is \; Length\; of\; Prism\\W\; is\; Width\; of\; Prism\\H\; is\; Height\; of\; Prism`

Step 1: Find the volume of the cylindrical can and rectangular tank (Prism)

`Volume_(Cylinder)= \pi \cdot 3^2 \cdot 8 \approx 226.2\; in^3\\\\Volume_(Prism)=30 \cdot 30 \cdot 60 = 54000 \;in^3`

Step 2: Find the number of cylindrical cans that will fill the rectangular tank

`image`

Conclusion:

The maxim number of full cans of water that can be poured into the fish tank without the water overflowing are 238 cans