Question

A cone of height 48cm has a curved surface area of 2200cm ².Find its volume. (π=22/7)​

Answer 1

volume of cone=2200

1/3*22/7/r²*48=2200

r²=2200*3*7/22*48

find radius fromhere, then find l by √(h²+r²)

and then C. S. A

Answer 2

$csa \: of \: cone = \pi \: rl \\ 2200 = \frac{22}{7} \times r \times 48 \\ 2200 \times 7 = 22 \times 48 \times r \\ 15400 = 1056 \times r \\ \frac{15400}{1056} = r \\ 14.58 = r \\ volum \: of \: cone = \frac{1}{3} \pi \: {r}^{2} \times h \\ = \frac{1}{3} \times \frac{22}{7} \times 14.58 \times 14.58 \times 48 \\ = \frac{22}{7} \times 212.58 \times 16 \\ = \frac{22}{7} \times 3401.28 \\ = \frac{74828.16}{7} \\ = 10689.74$