Question

a right triangle with sides 3cm,4cm,5cm is rotated about the side of 3cm to formed a cone. what is the volume of cone?

Answer 1

In Right ∆,
Hypotenuse=5cm,
Base of ∆= Radius of Cone=3cm
3rd side of ∆=Height of Cone=4cm
So,Volume of Cone=1/3πr²h=1/3×3.14×(3)²×4=37.68

Answer 2

Volume of cone is 16π $cm^{3}$.

Step-by-step explanation:

Given:

Height of the cone, h = 3 cm

Radius of the cone, r = 4 cm

Volume of cone = $\frac{1}{3}$ π$r^{2}$h

                            = $\frac{1}{3}$ π $(4)^{2}\times 3$  

                            = $\frac{1}{3}$ π $16 \times 3$

                            = 16 π $cm^{3}$