Question

A cylinder and cone have the same height and radius. The height of each is 5 cm, and the radius is 2 cm. Calculate the volume of the cylinder and the cone

Answer 1

`\textit{volume of a cylinder}\\\\ V=\pi r^2 h~ \begin{cases} r=radius\\ h=height\\[-0.5em] \hrulefill\\ h=5\\ r=2 \end{cases}\implies V=\pi (2)^2(5)\implies V=20\pi \implies V\approx 62.83 \\\\[-0.35em] ~\dotfill\\\\ \textit{volume of a cone}\\\\ V=\cfrac{\pi r^2 h}{3}~ \begin{cases} r=radius\\ h=height\\[-0.5em] \hrulefill\\ h=5\\ r=2 \end{cases}\implies V=\cfrac{\pi (2)^2(5)}{3}\implies V=\cfrac{20\pi }{3}\implies V\approx 20.94`

Answer 2

Answer : 20.95cm³

Explanation:

Volume of cone,V = ⅓πr²h

Radius,r = 2cm

Height,h = 5cm

π = 22/7

V = ⅓*²²/7*(2)²*5

= 20.95cm³