Suppose a water tank in the shape of a right circular cylinder is thirty feet long and eight feet in diameter. How much sheet metal was used in its construction?

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The goal is to find the total surface area of the right circular cylinder of the shape, so we know how much sheet metal would need to be used.

The formula for total surface area is

total Surface area= 2PIr^2+2PIrh

Let's write down what each variable would be

PI=pi=3.14

The diameter is 8 feet, thus our radius is half of that. So

r=4 ft

h=30 feet

Substitute these numbers into the equation, and simplify.

T=2PI(4)^2+2pi(4)(30)=854.5132018 cubic ft. (if you do not use 3.14) if you use 3.14 (854.08 cubed ft)

Thus our final answer is 854.08 cubic ft or you can round to 854 cubic ft.

(Note cubic feet= ft^2)

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