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George bought a cylindrical water tank for his garden, but he forgot to ask the seller what the diameter of

the tank was. He needs to know the diameter of the tank so that he can build a platform for it to sit on.
The seller told him the Volume and the height, calculate the diameter of the tank using the information
below
The volume of the tank is 2521 ft? and its height is 7ft.​

User Kartikey
by
4.3k points

1 Answer

4 votes

Answer:

The diameter of the tank is 229.4 ft

Explanation:

Using the information given, we can find the diameter of the tank by following the steps below:

first, write down the formula for finding he volume of a cylinder.

volume of a cylinder = πr²h

From the question, height is given to be 7 ft and the volume is 2521

π is a constant and is approximately = 3.14

we can now proceed to insert our values into the formula and then solve for r;

volume of a cylinder = πr²h

2521 ≈ 3.14 ×r×7

2521 ≈ 21.98 r

Divide both-side of the equation by 21.89

2521/21.98 ≈ 21.98 r/21.98

114.70 = r

radius = 114.70 ft

But diameter = 2r

=2×114.70

=229.4 ft

The diameter of the tank is 229.4 ft

User Bruno Polo
by
3.8k points