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Question

Find the slant height , volume , curved surface area and the whole surface area of a cone of radius 21 cm and height 28 cm.


Options:
A .  3696 `cm^2`
B .  3756 `cm^2`
C .  3796 `cm^2`
D .  3800 `cm^2`
Answer: Option A

Here , r = 21 cm  and  h = 28 cm.

`:.`    Slant height , ` l = sqrt(r^2 + h^2)      = sqrt((21)^2 + (28)^2) =  sqrt(1225)` =  35 cm.

Volume = `1/3 pi r^2 h` =` (1/3 xx 22/7 21 xx 21 xx 28) cm^3` = 12936`  cm^3`

Curved surface area  =` pi r l =( 22/7 xx 21 xx 35) cm^2` = 2310` cm^2`

Total surface area =` ( pi r l + pi r^2)`

                             =`( 2310 + 22/7 xx 21 xx 21 ) cm^2 = 3696 cm^2`




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