Question

A cylinder of circular base with radius 28cm and height 24cm is completely filled with water. What is the amount of water remaining in tge cylinder when a solid sphere of radius 2cm is immersed

Answer 1

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Answer 2

The amount of water remaining in the cylinder is 59102.47 cm³.

Step-by-step explanation:

Given : A cylinder of circular base with radius 28 cm and height 24 cm is completely filled with water.

To find : What is the amount of water remaining in the cylinder when a solid sphere of radius 2 cm is immersed ?

Solution :

A cylinder of circular base with radius 28 cm and height 24 cm.

The volume of the cylinder is $V_c=\pi r^2 h$

$V_c=\frac{22}{7}\times 28^2\times 24$

$V_c=22\times 28\times 4\times 24$

$V_c=59136\ cm^3$

A solid sphere of radius 2 cm.

The volume of the sphere is $V_s=\frac{4}{3}\pi r^3$

$V_s=\frac{4}{3}\times \frac{22}{7}\times 2^3$

$V_s=33.52\ cm^3$

The amount of water remaining in the cylinder when a solid sphere is immersed is given by,

Amount remaining = Volume of cylinder - Volume of sphere

Amount remaining = 59136 - 33.52

Amount remaining = 59102.47 cm³

Therefore, the amount of water remaining in the cylinder is 59102.47 cm³.

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