Fill a cone . .

Geometry Level 1

An inverted right circular cone is filled with 27 π 27 \pi cubic inches of water. If the height of water is 9 9 in and the height of the cone is 21 21 in, how much more water is needed to fill up this cone? Give your answer in cubic inches.

340 π 340 \pi 218 π 218 \pi 412 π 412 \pi 316 π 316 \pi

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1 solution

Scale factor = 21 / 9 = 7 / 3 =21/9=7/3 . Therefore the full volume = 27 π × ( 7 / 3 ) 3 = 343 π = 27π \times (7/3)^{3}=343π . We subtract 27 π 27π to get 316 π 316π .

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