if a right circular cone of height 24 cm has volume 1232..., Area & Volume, General Mathematics

Question:If a right circular cone of height `24` cm has volume of `1232` cu. cm, then the area of its curved surface is :

A `154 cm^2` 
B `550 cm^2` 
C `704 cm^2` 
D ` 1254 cm^2`

/113

+ AnswerB

+ Explanation`1/3 πr^2 xx 24`

`= 1232 ⇒ r^2`

`= (154 xx 7/22)`

`= 49 or r = 7 cm.`

:. Slant height,

`l = √(24)^2 + 7^2`

`= √625`

`= 25 cm.`

:. Area of Curved Surface 

`= π rl = (22/7 xx 7 xx 25) cm^2`

`= 550 cm^2.`

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