SOLUTION: If a cylinder has a raius of 3 cm and a length of 10 cm. and every dimension of the cylinder is multiplied by 3 to form a new cylinder. How is the ratio of the volumes related to t
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Question 175996: If a cylinder has a raius of 3 cm and a length of 10 cm. and every dimension of the cylinder is multiplied by 3 to form a new cylinder. How is the ratio of the volumes related to the ratio of the corresponding dimensions?
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
If a cylinder has a raius of 3 cm and a length of 10 cm. and every dimension of the cylinder is multiplied by 3 to form a new cylinder. How is the ratio of the volumes related to the ratio of the corresponding dimensions?
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The volume is directly related to the square of the radius, and linearly related to the length.
V1 = pi*r^2*h
V2 = 27*V1
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V = k*r^2 directly related to the square of the radius
V = kh directly related to the length
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