SOLUTION: 1. The surface area of two similar cylinders are 879 cm2 and 220 cm2. If the volume of the smaller cylinder is 314 cm3, find the volume of the larger cylinder.
I first divided 8
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Question 879877: 1. The surface area of two similar cylinders are 879 cm2 and 220 cm2. If the volume of the smaller cylinder is 314 cm3, find the volume of the larger cylinder.
I first divided 879/220 and got 3.995 which I rounded to 4
I know 4 = 2^2 so my scale factor is 2
Answer by josgarithmetic(39617) (Show Source): You can put this solution on YOUR website!
The smaller cylinder:
and .
Using volume equation, ; substitute into the area equation:
---Obviously not yet finished, but a graphing calculator might help in getting a value for r, the diameter for the small cylinder; and from this, the length of the cylinder can be found. The ratio between the two cylinders can then be used.
(Roots appear near 2.20 and 5.70; evaluate each carefully and judge if useful).
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