Question #5528

Bedoo manufactures circular garden ponds that are 1.3 feet deep and have a diameter of 8 feet.
They are made out of synthetic rubber liners which she buys in rolls at a cost of $4.20 per square foot.
What does the rubber cost Bedoo to manufacture each pond

Expert's answer

The pond is a cylinder without a bottom, so the surface area of a pond is

S = pi*R^2 + 2*pi*R*H, where R = D/2 = 4 feet.

So,

S = pi*R^2 + 2*pi*R*H = pi*4^2 + 2*pi*4*1.3 ≈ 82.9380 squared feet.

and the price of the rubber is

S/P = 82.9380/4.20 = $19.7471 per pond.

S = pi*R^2 + 2*pi*R*H, where R = D/2 = 4 feet.

So,

S = pi*R^2 + 2*pi*R*H = pi*4^2 + 2*pi*4*1.3 ≈ 82.9380 squared feet.

and the price of the rubber is

S/P = 82.9380/4.20 = $19.7471 per pond.

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