# Geometry

"A cone has the radius of 24 and its volume is 1,920 what is the volume of a similar cone with the radius of 18 Answers A.480 B.810 C.1,080 D.1,440" How do I find the height for the similar cone to get its volume?

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1. since volume scales as the cube of the linear scale,

the new cone is scaled in every dimension to 3/4 the original cone. So, its volume is (3/4)^3 * 1920 = 810

Note that you don't need the height, just the relative scale factor.

1/3 pi r^2 h = 1920

1/3 pi (3/4 r)^2 (3/4 h) = 1920 * (3/4)^3

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4. The correct answer is b. 810 cm^3

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5. Wow, Steve! Great job, very detailed. You must be very smart.

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6. 'Yeah, I agree. Who needs the answers for the whole test? I need help on a few questions. NOTE: THE QUESTIONS CHANGE: READ THE QUESTION BEFORE POSTING ANSWERS. YOU COULD BE GIVING WRONG ANSWERS TO PEOPLE!!!!!'

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7. The responses are mixed for EVERYONE, no one can post exact right answers

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