Question

When a sphere of radius 5cm is immersed in water filled in a cylinder,water rises by 5/3cm.Find cylinder's radius

Answer 1

Here in this particular problem
Increase in volume of water in cylinder = volume of the sphere.

Answer 2

Answer:

Radius of the cylinder is 10 cm.

Step-by-step explanation:

When a sphere is immersed in the water filled cylinder,

Volume of the water displaced by the sphere in cylinder = Volume of the sphere  

Volume of water displaced in cylinder = $\pi (r^{2})h$

                                                                = $\pi (r^{2})(\frac{5}{3})$

Volume of sphere = $\frac{4}{3}\pi (5)^{3}$

Now $\pi (r)^{2}(\frac{5}{3})=\frac{4}{3}\pi (5)^{3}$

$5r^{2}=500$

r² = 100

r = 10

Therefore, radius of the cylinder is 10 cm.

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