A cylinder has some water in it at a height of 16 cm. If a sphere of radius 9 cm is put into it, then find the rise in the height of the water if the radius of the cylinder is 12 cm.
Show answer & explanation
Correct answer: D
Explanation
The correct answer is option 4 i.e. 6.75 cm.
Given that
A cylinder has some water in it at a height of 16 cm
the radius of the sphere (r) = 9
The radius of the cylinder (R) = 12 cm
The height of cylinder (h) = 16 cm
Let the height of water raised by H cm
According to the question
The volume of the sphere = Volume of the rise of water in a cylinder
⇒ 4/3 πr3 = π R2H
⇒ 4/3 × 93 = 122 × H
⇒ H = 4 × 243/144 = 6.75 cm