Question

The curved surface area of a cylinder of height 28 cm is 704 square cm. Find the volume of the cone

Answer 1

Answer:

CSA of cylinder is

$2\pi \: rh = 704 \\ 2 \times \frac{22}{7} \times r \times 28 = 704 \\ 2 \times 22 \times r \times 4 = 704 \\ r = \frac{704}{2 \times 22 \times 4} = \frac{704}{176} = 4$

r=4 cm

$volume \: of \: cone = \frac{1}{3}\pi \: {r}^{2} h$

$\frac{1}{3} \times \frac{22}{7} \times {4}^{2} \times 28$

$\frac{1}{3} \times \frac{22}{7} \times 16 \times 28$

$\frac{1408}{3} {cm}^{3}$