A cylindrical jar of diameter 9 cm and depth 12cm is full of milk .The milk poured into a cylindrical glass of diameter 6cm .What is the depth of the milk in the glass
Answers
Given :
Diameter of a cylindrical jar ,D = 9 cm
Radius of a cylindrical jar (R) = 9/2 cm
Depth of a cylindrical jar (H) = 12 cm
Diameter of a cylindrical glass ,d = 6 cm
Radius of the cylindrical glass , r = 6/2 = 3 cm.
To find: Depth of the milk in the glass
Solution :
Let the depth of the milk in the cylindrical glass be h cm .
Volume of a cylindrical jar is equal to the volume of cylindrical glass
Volume of cylindrical jar = Volume of cylindrical glass
πR²H = πr²h
R²H = r²h
(9/2)² × 12 = 3² × h
81/4 × 12 = 9 × h
81 × 3 = 9 × h
h = (81 × 3)/ 9
h = 9 × 3
h = 27 cm
Hence, the depth of the milk in the cylindrical glass is 27 cm.
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