To raise the water level up to the tip of a cylindrical container, a s

1.	To raise the water level up to the tip of a cylindrical container, a sphere is immersed in the container in such a way that it just touched the walls of the cylinder. if the height of the cylinder is 14m and initially the water level in the cylinder was 10 m, what is the radius of the solid sphere?
Answer» Let radius of sphere be r Since, after immersing sphere into a cylindrical container the water level upto the tip of clinder form 10 m height. \(\therefore\) Volume of sphere = Raised volume ⇒ \(\frac43\pi r^3\) = πr²(14 - 10) ⇒ r = \(\frac34\times4\) = 3 Hence, radius of solid sphere is 3m.

To raise the water level up to the tip of a cylindrical container, a sphere is immersed in the container in such a way that it just touched the walls of the cylinder. if the height of the cylinder is 14m and initially the water level in the cylinder was 10 m, what is the radius of the solid sphere?

Answer»

Let radius of sphere be r

Since, after immersing sphere into a cylindrical container the water level upto the tip of clinder form 10 m height.

\(\therefore\) Volume of sphere = Raised volume

⇒ \(\frac43\pi r^3\) = πr²(14 - 10)

⇒ r = \(\frac34\times4\) = 3

Hence, radius of solid sphere is 3m.

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To raise the water level up to the tip of a cylindrical container, a sphere is immersed in the container in such a way that it just touched the walls of the cylinder. if the height of the cylinder is 14m and initially the water level in the cylinder was 10 m, what is the radius of the solid sphere?

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