Answer:
The volume of a cylinder is 62.8 cm and the volume of a cone is 20.9 cm³ .
Step-by-step explanation:
Formula
[tex]Volume\ of\ a\ cylinder = \pi r^{2} h[/tex]
[tex]Volume\ of\ a\ cone = \pi r^{2} \frac{h}{3}[/tex]
Where r is the radius and h is the height .
As given
A cylinder and cone have the same height and radius. The height of each is 5 cm, and the radius is 2 cm.
[tex]\pi = 3.14[/tex]
Thus
[tex]Volume\ of\ a\ cylinder =3.14\times 5\times 2\times 2[/tex]
= 62.8 cm³
Thus the volume of a cylinder is 62.8 cm³ .
[tex]Volume\ of\ a\ cone = 3.14\times 2\times 2\times frac{5}{3}[/tex]
[tex]Volume\ of\ a\ cone =\frac{5\times 3.14\times 2\times 2}{3}[/tex]
[tex]Volume\ of\ a\ cone =\frac{62.8}{3}[/tex]
= 20.9 (Approx) cm³
Thus the volume of a cone is 20.9 cm³ .
Therefore the volume of a cylinder is 62.8 cm and the volume of a cone is 20.9 cm³ .
