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 3 cm. The height of both the
glasses was 120 cm.
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

Answer: Suresh got more quantity because B-type glass has more volume.

Step-by-step explanation:

Cylinder volume is the cylinder's density, which indicates the amount of material it can hold, or how much of any material can be immersed in it. The volume of a cylinder is given by the formula πr2h, where r is the radius of the circular base and h is the height of the cylinder. The material can be a liquid quantity or any substance that can be uniformly filled into a cylinder.

In other words, we mean to calculate the capacity or volume of this box. The capacity of the cylinder box is basically equal to the volume of the respective cylinder. Thus, the volume of a three-dimensional shape is equal to the amount of space that shape occupies.

To determine who got the most juice to drink, we will need to get the capacity of each glass.

First, we get the capacity of the cylindrical part.

This is given by:

$Volume = 3.142 *3^2 * 10 = 282.78 cm^3$

Glass type A:

We need to get the volume of the hemispherical bottom.

Formula: 2/3π$r^3$

Substituting, we have: $3.142 * 2/3 * 3^3 = 56.556 cm^3$

Glass volume = $282.78 cm^3 - 56.556 cm^3 = 226.224 cm^3$

Glass type B:

The volume of the conical part:

Volume = 1/3π$r^2$h

$= 1/3 *3.142 * 3^2 * 1.5 = 14.139 cm^3$

$Volume of glass = 282.78 cm^3- 14.139 cm^3 = 268.641 cm^3$

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