Math

1. A cone has a radius of 40 cm and a volume of 1875 cm^3. what is the volume of a similar cone with a radius of 16 cm.

A: 120 cm^3
B: 300 cm^3
C: 75 cm^3
D: 750^3

I know the answer is A but could someone explain how to do the problem.

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  1. volume is proportional to length cubed for similar geometry
    2 times length is 4 times area
    2 times length is 8 times volume

    so
    1875(16/40)^3 = 1875(.064) = 120cm^3

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  2. Thank you so much

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  3. Thanks Damon. Embershy? huh, there really is someone I have in common

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