Water is stored in a cylindrical tank with a diameter of 36 feet. The surface area of the tank is 4750.1 square feet. What is the height of the tank?

defazajx

defazajx

Answered question

2021-01-02

Water is stored in a cylindrical tank with a diameter of 36 feet. The surface area of the tank is 4750.1 square feet. What is the height of the tank?

Answer & Explanation

Layton

Layton

Skilled2021-01-03Added 89 answers

The formula for calculating a cylinder's surface area S=2πr2+2πrh where h is the cylinder's height and r is the radius of the circular base.
Since the diameter of the tank is d=36 ft, then the radius r=d÷2=36÷2=18ft.
Since we know the surface area is S=4750.1ft2 and the radius is r=18, In order to solve for h, we can then enter these values into the surface area formula as follows:
S=2πr2+2π rh Surface are formula.
4750.1=2π(18)2+2π(18)h Substitute S=4750.1 and r=18. 4750.1=2π(324)+36πh Simplify. 4750.1=648π+36πh Simplify. 4750.1648π=36π Substract 648π on both sides. (4750.1648π)/(36π)=h Divide both sides by 36π. 24h Evaluate using a calculator. The height of the cylinder is then 24 ft.

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