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NAMI

· started a discussion

· 1 Months ago

explain this properly ! (Question: 189780.0 )

explain this properly !

Question:
The water contained by a hemispherical cup having a diameter 13.5 cm is poured into an empty right circular cylindrical glass of diameter 9 cm. Then the depth of the water in the glass is – 
Options:
A) 10 \(\cfrac{1}{8}\) cm 
B) 7 \(\cfrac{3}{8}\) cm 
C) 8 cm 
D) 12 \(\cfrac{1}{3}\) cm 
Solution:
Ans: (a)


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

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