Find the capacity in litres of a conical vessel whose base diame

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 Multiple Choice QuestionsShort Answer Type

321. The ratio of the volumes of two cones is 4 : 5 and the ratio of their base radii is 2 : 3. Find the ratio of their vertical heights.
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322. A military tent is in the form of a circular cone of vertical height 6 m, the diameter of the base being 7 m. If 12 soldiers can sleep in it, find the average cubic metre of air space required per soldier.
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323. The radius and height of a cone are in the ratio 3 : 4. If its volume is 301.44 cu. cm., find its radius and slant height. (Take straight pi = 3.14)
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324. The radius and height of a right circular cone are in the ratio of 5 : 12 and its volume is 2512 cm3. Find the slant height and radius of base of cone. (Take straight pi = 3.14) 
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325. A cone of base radius 7 cm has a curved surface area 550 cm2. Find its volume.

open parentheses Use space straight pi equals 22 over 7 close parentheses


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326. Find the capacity in litres of a conical vessel whose base diameter is 14 cm and slant height is 25 cm.


Solution not provided.

Ans.    1.232l

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327. The volume of a cone of base radius 3 cm is 12 π cm3. Find the slant height of the cone.
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328. The height and radius of a cone are in the ratio 4 : 3. If its volume is 96n cm3, find the slant height of the cone.  
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329. The radius and height of a right circular cone are in the ratio 5 : 12. If its volume is 314 cm3, find the slant height and curved surface area. (Use straight pi = 3.14) 
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330. A patient in a hospital is given soup daily in a conical bowl of diameter 7 cm. If the bowl is filled with soup to a height of 6 cm, how much soup the hospital has to prepare daily to serve 320 patients.
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