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Is this problem really as easy as it looks? geometry?

+1 vote
The dimensions of four different cylinders are given below. Which cylinder has the greatest volume?

Cylinder 1: r = 4ft, h = 3ft
Cylinder 2: r = 2ft, h = 5ft
Cylinder 3: r = 3ft, h = 4ft
Cylinder 4: r = 5ft, h = 1ft
asked Feb 4, 2013 in PRECALCULUS by andrew Scholar

1 Answer

+1 vote

The volume of the cylinder is V = πr2h. where r = radius and h = height.

Cylinder 1: r = 4ft, h = 3ft

The volume is V = π(4)2(3) = π(16)(3) = 48π ft3

Cylinder 2: r = 2ft, h = 5ft

The volume is V = π(2)2(5) = π(4)(5) = 20π ft3

Cylinder 3: r = 3ft, h = 4ft

The volume is V = π(3)2(4) = π(9)(4) = 36π ft3

Cylinder 4: r = 5ft, h = 1ft

The volume is V = π(5)2(1) = π(25)(1) = 25π ft3

Even though the last one has the largest radius, the height is really small compared to the others. The first one has a radius a little smaller than the last, but a height that's big enough to compensate.

Therefore answers is Cylinder 1.

answered Feb 4, 2013 by richardson Scholar

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