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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?​

Sagot :

lublana

Answer:

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

Step-by-step 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=[tex]\pi r^2 h[/tex]

Where [tex]\pi=3.14[/tex]

Using the formula

Volume of cylinderical tank=[tex]3.14(2)^2\times 3=37.7m^3[/tex]

Volume of rectangular prism=[tex]lwh[/tex]

Using the formula

Volume of rectangular prism=[tex]7\times 2\times =28m^3[/tex]

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 .

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