Question

A tank in the shape of a right rectangular prism measures 10 inches long, 5 inches wide, and 7 inches tall. The tank is filled with water. James is emptying the water from the tank using a cylindrical container that had a height of 1.6 inches and diameter of 4 inches. James has already emptied 10 containers of water from the tank. Approximately how much water is still in the tank?

Answer 1

Approximately 149 cubic centimeters of water

Explanation:

step 1

Find the volume of water in the tank

The volume of a rectangular prism is equal to

`V=LWH`

we have

`L=10\ in\\W=5\ in\\H=7\ in`

substitute

`V=(10)(5)(7)=350\ cm^3`

step 2

Find the volume of the cylindrical container

The volume of the cylinder is equal to

`V=\pi r^(2)h`

we have

`r=4/2=2\ in` ---> the radius is half the diameter

`h=1.6\ in`

`\pi =3.14`

substitute

`V=(3.14)(2)^(2)(1.6)`

`V=20.096\ cm^3`

step 3

To find out how much water is still in the tank, subtract the volume of 10 containers of water from the volume of the tank

so

`350-(10)(20.096)=149.04\ cm^3`

therefore

Approximately 149 cubic centimeters of water