Q. 74.0( 19 Votes )

Volume of a cone

Answer :

Given: Volume of cone (V) = 1212 cm3

Height of cone (h) = 24 cm


We know the formula of volume of cone,


Volume = πr2h /3


3V = πr2h


r2 =





r2 = 48.20 …(i)


r = √48.20 = 6.94


r ≈ 7 …(ii)


We know,


l = √(r2 + h2)


l = √(48.20 + 242) [from (i)]


l = √(48.20 + 576)


l = 24.98


l ≈ 25 …(iii)


Slant height of cone is 25 cm.


Curved surface area of cone is given by,


CSA = πrl


[from (ii) and (iii)]


CSA = 550 …(iv)


Thus, curved surface area of cone is 550 cm2.


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