Question

A glass cylinder with diameter 20 cm has water to a height of 9 cm. A metal cube of 8 cm edge is immersed in it completely. Calculate the height by which water will rise in the cylinder
please do it on a piece of paper with diagram.
i will mark u as brainliest and thank u
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Answer 1

Step-by-step explanation:

H=9 cm

D=20 cm, R=

2

D

=10 cm

side of cube =8 cm

Total volume of cylinder (after cube is increased)=volume of natur in cylinder + Volume of water

Displaced of volume of cube

=πR

2

H+a

3

=

7

22

×10×10×9+(8)

3

=

7

19800

+512

=2828.57+512

=3340.57 cm

3

Height of water h 1. It can be found b equating

πR

2

H1 with above volume

7

22

×10×10×h1=3340.57

h1=23303.99/2200

h1=10.63 cm

Rise in the water level in the cylinder =h1−H

=10.63−9

=1.63 cm