document.write( "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? \n" ); document.write( "

Algebra.Com's Answer #148094 by vleith(2983) $\"\"$ $\"About$

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Start with the formula for the volume of a cone.
\n" ); document.write( " $\"+V+=+%281%2F3%29%28pi%29r%5E2%2Ah\"$
\n" ); document.write( "You are told that Cone B has dimensions that are scaled to 9 times the dimensions of cone A.
\n" ); document.write( "So, the radius on cone B is 9r and the height on cone B is 9h.
\n" ); document.write( "Thus the volume for cone B is
\n" ); document.write( " $\"V%5Bb%5D+=+%281%2F3%29%2A%28pi%29%2A%289r%29%5E2+%2A9h\"$
\n" ); document.write( " $\"V%5Bb%5D+=+%281%2F3%29%28pi%29r%5E2%2Ah+%2A9%5E3\"$
\n" ); document.write( "You are told Cone A has a volume of 10cm3.
\n" ); document.write( "You can also see that Cone B's volume is just $\"9%5E3\"$ times that of Cone A.
\n" ); document.write( "So the volume of Cone B = 10*9^3 cm3 \n" ); document.write( "

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