Let slant height of cone = $$l$$ cm and radius = 35 cm Curved surface area of cone = $$pi r l = 10010$$ => $$frac{22}{7} imes 35 imes l = 10010$$ => $$22 imes 5 imes l = 10010$$ => $$l = frac{10010}{110} = 91$$ Let height of cone = $$h$$ cm => $$(h)^2 = (l)^2 - (r)^2$$ => $$(h)^2 = (91)^2 - (35)^2$$ => $$(h)^2 = 8281 - 1225 = 7056$$ => $$h = sqrt{7056} = 84$$ $$ herefore$$ Volume of cone = $$frac{1}{3} imes pi r^2 h$$ = $$frac{1}{3} imes frac{22}{7} imes (35)^2 imes 84$$ = $$22 imes (35)^2 imes 4 = 107800 cm^3$$