Question

18. The volume of a cylinder is 5346 cm3, and the ratio of its radius to its height is 3: 7. ​

Answer 1

Answer:

Step-by-step explanation:

The radius of a cylinder(r) = 9 cm and The height of a cylinder(h) = 21 cm

The volume of a cylinder = 5346

Let 3x and 7x be the radius and height of a cylinder.

To find, the radius(r) and height(h) of the cylinder = ?

We know that,

The volume of a cylinder = πr^2h

⇒ 22/7 × (3x)^2×7x = 5346

⇒ 22×9x^2 = 5346

⇒ 198x^2 = 5346

⇒ x^3 = 5346/198 = 27

⇒ x^3 = 3^3

⇒ x = 3 cm

∴ The radius of a cylinder(r) = 3 × 3 cm = 9 cm and

The height of a cylinder(h) = 7 × 3 cm = 21 cm

hope it helps u...