Question

Find the radius of a cylinder with a volume 686mm2 and a height of 14mm​

Answer 1

r = 3.95 mm (nearest hundredth)

Explanation:

`\textsf{volume of a cylinder} = \pi r^2h`

(where r = radius and h = height)

Given, volume = 686 mm² and height = 14 mm:

`686=\pi r^2*14`

`\implies\pi r^2=686 /14=49`

`\implies r^2=49 / \pi`

`\implies r=√(49 / \pi )=3.949327085...`

`\implies r=3.95 \ \textsf{mm}`