Question

a spherical ball is immersed in water cotained in a vertical cylinder assuming the water covers the ball calculate the rise in the water level if sphere radius = 3cm cylinder radius = 10cm

Answer 1

Given:

a spherical ball is immersed in water contained in a vertical cylinder assuming the water covers the ball

To find:

calculate the rise in the water level if sphere radius = 3cm cylinder radius = 10cm

Solution:

From given, we have the data as follows.

a spherical ball is immersed in water contained in a vertical cylinder assuming the water covers the ball.

sphere radius = 3cm

cylinder radius = 10cm

The given condition implies that, the increase in the volume of the cylinder equals the volume of the sphere.

Thus, we get,

π × 10² × h = 4/3 × π × 3³

⇒ h = 0.36 cm

π × 5² × h = 4/3 × π × 2³

⇒ h = 0.426 cm

Therefore, the rise in the water level is, = 0.426 - 0.36 = 0.066 cm

Therefore, the rise in the water level is 0.066 cm

Answer 2

Answer:

a)0.36cm b)0.42667cm

Step-by-step explanation:

the increase in volume=volume of sphere

a) π$10^{2}$h=4/3π3³

   h=0.36 (you can calculate it with a calculator)

b) π5²h=4/3π2³

   h=0.42667(you can calculate it with a calculator)