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

Answer:

Approximately 149 cubic centimeters of water

Step-by-step 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