Q26 of 40 Page 1

Isha is 10 years old girl. On the result day, Isha and her father Suresh were very happy as she got first position in the class. While coming back to their home, Isha asked for a treat from her father as a reward for her success. They went to a juice shop and asked for two glasses of juice.

Aisha , a juice seller, was serving juice to her customers in two types of glasses. Both the glasses had inner radius 3cm. The height of both the glasses was 10cm.



First type: A Glass with hemispherical raised bottom.



Second type: A glass with conical raised bottom of height 1.5 cm.


Isha insisted to have the juice in first type of glass and her father decided to have the juice in second type of glass. Out of the two, Isha or her father Suresh, who got more quantity of juice to drink and by how much?


father Suresh got more quantity of juice by 13.5π cm3


Given –


radii of both glasses r = 3 cm


heights of both glasses h = 10 cm


height of conical bottom h’ = 1.5 cm


To find – difference between volumes of juice in two glasses


Formulae –


1. Volume of cylinder


2. Volume of hemisphere


3. Volume of cone =


Answer –


Volume of juice in first type of glass


V1 = volume of cylindrical glass – volume of hemisphere




∴ V1 = 90π - 18π


∴ V1 = 72π cm3


Now, volume of juice in second type of glass


V2 = volume of cylindrical glass – volume of cone




∴ V2 = 90π – 4.5π


∴ V2 = 85.5π cm3


Therefore, second glass will contain more amount of juice.


The difference in volumes of juice in two glasses is


∴ V2 – V1 = 85.5π - 72π = 13.5π cm3.


Hence, father Suresh got more quantity of juice than Isha by 13.5π cm3.


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