Two similar cylinders have volumes 125 and 216. The radius of the smaller cylinder is 3. Find the radius of the larger cylinder.
1 answer:
Answer:
The radius of the larger is 3 3/5 cm or 3.6 cm
Step-by-step explanation:
The ratio of the volumes is that is related to the scale factor cubed
125/216 = (sf) ^3
Taking the cube root of each side
(125/216)^1/3 = (sf) ^3 ^(1/3)
5/6 = (sf)
That means the ratio of the radii is in the same proportion
5/6 = 3/ r
Using cross products
5r = 6*3
5r/5 = 18/5
r = 18/5 = 3 3/5
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