Question

a cylindrical water tank has a diameter of 4m and a height of 3m.while a water tank shaped like a rectangular prism has a length of 7m.a width of 2 meters and a height of 2 meters. which of the tanks can hold more water? by how many cubic meters?​

Answer 1

The cylindrical tank can hold 9.7 cubic meter more water than the rectangular prism shape tank .

Explanation:

We are given that

Diameter of cylinderical water tank, d=4 m

Radius of cylinderical water tank,r=d/2=4/2=2 m

Height of cylinderical water tank,h=3 m

Length of rectangular prism, l=7 m

Width of rectangular prism ,w=2 m

Height of rectangular prism, h=2m

Volume of cylinder=
`\pi r^2 h`

Where
`\pi=3.14`

Using the formula

Volume of cylinderical tank=
`3.14(2)^2* 3=37.7m^3`

Volume of rectangular prism=
`lwh`

Using the formula

Volume of rectangular prism=
`7* 2* =28m^3`

Difference between volumes=37.7-28=9.7 cubic meters

Hence, the cylindrical tank can hold 9.7 cubic meter more water than the rectangular prism shape tank .