Question

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?

Answer 1

Capacity of first glass = πr²H -2/3 πr³

= π x 9(10-2) = 72πcm³

Capacity of second glass = πr²H -1/3 πr²H

= π × 3 × 3(10 − 0.5) = 85.5π cm³

∴ Sureshgot more quantity of juice.