Question

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

Answer 1

Answer:

r = 3.95 mm (nearest hundredth)

Step-by-step explanation:

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

(where r = radius and h = height)

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

$686=\pi r^2\times14$

$\implies\pi r^2=686 \div14=49$

$\implies r^2=49 \div \pi$

$\implies r=\sqrt{49 \div \pi }=3.949327085...$

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