Question

3. A cylindrical container of diameter 16 cm contains sufficient water to submerge a solid of
dimension 6cm x 8 cm x 12cm. Find the rise in the level of water, when the solid is
completely submerged.​

Answer 1

Step-by-step explanation:

when the iron block will be submerged in the water, then the volume of water rise will be equal to the volume of the iron block.

volume of the iron block = 32 x 22 x 14 = 9856 cm³

Given the diameter of the cylindrical container = 56 cm

=> radius of the cylindrical container = 56/2 = 28 cm

Let the rise in water level be h cm

=> volume of water raise = πr²h

= 22/7 x 28 x 28 x h

= 2464 h cm³

Hence ,

2464 x h = 9856

=> h = 9856/2464 = 4 cm

Hence the rise in water level will be 4