Question

find the volume of a cone of height 10 cm and area of the base is 30 cm^2​

Answer 1

Step-by-step explanation:

let the height be $h = 10cm$.

therefore,

Area of base =$πr^2$

=> $30cm^2 = πr^2$

=> $\frac{30 {cm}^{2} }{\pi} = r^2$

Volume of Cone = $\pi {r}^{2} \frac{h}{3}$

since, $r^2 = \frac{30 {cm}^{2} }{\pi}$ and $h = 10cm$

Volume of Cone = $\pi \frac{30 {cm}^{2} }{\pi} \times \frac{10cm}{3} = 100 {cm}^{3}$

thus, Volume of cone is $100cm^2$.