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Kapil Mittal

· started a discussion

· 1 Months ago

WRONG (Question: 206623.0 )

answer will be 63/8

Question:
The water contained by a hemispherical cup of diameter 13.5 cm is poured into an empty right circular cylinder glass of diameter 9 cm. The depth of the water in the glass is  ? 
Options:
A) 10.125  cm 
B) 7 \(\cfrac{3}{8}\) cm
C) 8 cm 
D) 12 \(\cfrac{1}{3}\) cm 
Solution:
Ans: (a) 

ATQ, 


Knowledge Expert

· commented

· 1 Months ago

Dear Student,

Volume of Hemisphere = 2/3 pai r^3
= 2/3 pai (135/20)^3
= 2/3 pai 27/4*27/4*27/4
volume of cylinder is = pai (9/2)^2h
comparing both volumes
2/3 pai 27/4*27/4*27/4 = pai (9/2)^2h
after solving
h=81/8= 10 1/8 cm

Please try again.

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