Question

Isha is a 10 year old girl. On the result day, Isha her father Suresh was 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 just 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 10 cm.

first type: a glass with hemispherical raised bottom.

second type: a glass with conical raised to 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

Answer:

Suresh got more quantity since glass type B has a larger volume.

Step-by-step explanation:

To determine who got more quantity of juice to drink, we will have to get the capacity of each glass.

First we get the capacity of the cylindrical part.

This is given by:

Volume = 3.142 × 3² × 10 = 282.78 cm³

Glass Type A:

We need to get the volume of the hemispherical bottom.

Formula: 2/3πr³

Substituting we have: 3.142 × 2/3 × 3³ = 56.556 cm³

Volume of the glass = 282.78 cm³ - 56.556 cm³ = 226.224 cm³

Glass Type B:

The volume of the conical part:

Volume = 1/3πr²h

= 1/3 × 3.142 × 3² × 1.5 = 14.139 cm³

Volume of the glass = 282.78 cm³ - 14.139 cm³ = 268.641 cm³