Question

The radius and height of a cylinder are in the ratio 3:2 and its volume is 19,404 cm3. Find its

radius and height

Answer 1

$let \: radius = 3x \\ and \: height = 2x \\ vol \: of \: cylinder = \pi {r}^{2} h \\ 19404 = 22 \div 7 \times 3x \times 3x \times 2x \\ 19404 \times 7 \div 22 \times 18 = {x}^{3} \\ {x}^{3} = 343 \\ \sqrt[3]{343 } = x \\ x = 7cm$