Question

the curved surface area of cone is 1159 5/7cm2 .area of its base is 254 4/7 cm2 . find its volume

Answer 1

πr^2 = 1782/7
r^2 = 81
r = 9. (1)

πrl = 8118/7
rl = 369
l = 41. From(1)


$h \: = \sqrt{ {l}^{2} - {r}^{2} }$
h = √ 1681 - 81
= 40

Volume = πr^2h
= 22/7 * 81 * 40
= 10182.8 cm^3