A sphere of radius 5 cm is immersed in water filled in a cylinder, the

1.	A sphere of radius 5 cm is immersed in water filled in a cylinder, the level of water rises \(\frac{5}{3}\)cm. Find the radius of the cylinder.
Answer» Volume of a sphere = (\(\frac{4}{3}\))πr³ Volume of a cylinder = πr²h Let the radius of the cylinder be r cm. Given, Sphere of radius 5 cm is immersed in water filled in a cylinder, the level of water rises \(\frac{5}{3}\)cm Volume of the sphere = Volume of the water in the cylinder. ⇒ \(\frac{4}{3}\)π x 5³ = π x r² x \(\frac{5}{3}\) ⇒ r² = 4 × 5² ⇒ r = 10 cm

A sphere of radius 5 cm is immersed in water filled in a cylinder, the level of water rises \(\frac{5}{3}\)cm. Find the radius of the cylinder.

Answer»

Volume of a sphere = (\(\frac{4}{3}\))πr³

Volume of a cylinder = πr²h

Let the radius of the cylinder be r cm.

Given,

Sphere of radius 5 cm is immersed in water filled in a cylinder,

the level of water rises \(\frac{5}{3}\)cm

Volume of the sphere = Volume of the water in the cylinder.

⇒ \(\frac{4}{3}\)π x 5³ = π x r² x \(\frac{5}{3}\)

⇒ r² = 4 × 5²

⇒ r = 10 cm