# SOLUTION: Cone A is similar to cone B with a scale factor of 1/9. If cone A, the smaller of the two, has a volume of 10 cm3, what is the volume of cone B?

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 Question 197499: Cone A is similar to cone B with a scale factor of 1/9. If cone A, the smaller of the two, has a volume of 10 cm3, what is the volume of cone B?Answer by vleith(2825)   (Show Source): You can put this solution on YOUR website!Start with the formula for the volume of a cone. You are told that Cone B has dimensions that are scaled to 9 times the dimensions of cone A. So, the radius on cone B is 9r and the height on cone B is 9h. Thus the volume for cone B is You are told Cone A has a volume of 10cm3. You can also see that Cone B's volume is just times that of Cone A. So the volume of Cone B = 10*9^3 cm3