Question

The volume of the cylinder is 5346cm3(cube) and the ratio of its radius to its height is 3:7 find the radius and height. Please send a picture for this solution

Answer 1

Answer:

radius = 9cm

height = 21cm

Step-by-step explanation:

volume of cylinder = πr^2h = 5346

the ratio of radius and height of cylinder is 3:7

let the radius be 3x

the height will be 7x

$\pi {r}^{2} h = 5346 \\ \frac{22}{7} \times {(3x)}^{2} \times 7x = 5346 \\ \frac{22}{7} \times 9 {x}^{2} \times 7x = 5346 \\ 22 \times 9 {x}^{2} \times x = 5346 \\ 198 {x}^{3} = 5346 \\ {x}^{3} = \frac{5346}{198} \\ {x}^{3} = 27 \\ x = \sqrt[3]{27} \\ x = 3$

radius = 3x = 3 × 3 = 9 cm

height = 7x = 7 × 3 = 21 cm

hope you get your answer