Question

if the volume of a right circular cylinder is 600 cm^3, find the volume of right cone with same radius and height.

Answer 1

Answer:

$volume \: of \: cone = \frac{1}{3} \times \pi {r}^{2} h \\ \\ \frac{1}{3} \times 600 \\ \\ = 200 \: {cm}^{3}$

Step-by-step explanation:

$volume = 600 \: {cm}^{3} \\ \\ \pi \times {r}^{2} \times h = 600 \\ \\ \pi {r}^{2} h = 600 \\ \\ \\ therefore \: \: volume \: of \: cone = \frac{1}{3} \times \pi {r}^{2} h \\ \\ \frac{1}{3} \times 600 \\ \\ = 200 \: {cm}^{3}$