InterviewSolution
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InterviewSolution
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The difference of the square of the height and the square of the base of a right circular cone of slant height 10 cm is 28cm, then the volume of the cone will beA. `43pi c c`B. `54 pi c c`C. `72pi c c`D. `96pi c c` |
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Answer» Let the height of the right circular cone h cm and the radius of the base be r cm. The slant height of the cone is 10 cm . `therefore h^2+r^2=(10)^2 or , h^2+r^2=100`................(1) Again , `h^2-r^2=28`...................(2) Adding (1) and (2) we get, `2h^2=128 or , 64 or , h=8` `r^2=100-h^2=100-64=36`. `therefore` the volume of the cone `=(1)/(3) xx pi xx 36 xx 8 c c =96 pi c c`. `therefore` (d) is correct. |
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