Ramesh,a juice seller has set up his juice shop.He has three types of glasses of inner diameter 5cm to serve bthe customers.the height of the glasses is 10 cm.
He decided to serve the customer in A type of glasses.Find the volume of glass of type A and which glass has the minimum capacity.
use π=3.14
Answers
Answer:
The volume of glass type A = 196.25 cm³
The glass with the smallest capacity is B
Step-by-step explanation:
We need to get the volume of the three glasses as follows:
r = 5/2 = 2.5
Glass A
Since the glass is cylindrical, the volume is given by: 3.14r²h
= 3.14 × (5/2)² × 10 = 196.25 cm³
Glass B
This has a hemispherical raised bottom. So, we get the volume of the cylinder minus the volume of the hemispherical part.
Volume of the hemispherical part = 2/3 × 3.14 × 2.5³ = 32.708 cm³
The volume of the glass B = 196.25 - 32.708 = 163.542 cm³
Glass C
Volume of the conical bottom = 3.14 × 2.5² × 1.5 = 29.4375 cm³
The volume of glass C = 196.25 - 29.4375 = 166.8125 cm³
The glass with the smallest capacity is glass B with a volume of 163.542 cm³
Answer: Mark as Brainliest please!
Glass of type A :
Inner diameter = 5 cm
Inner radius = 5/2 = 2.5 cm
Height of the glass = 10 cm
Volume of glass of type A (Since this glass has plane bottom) = πr²h
⇒ 3.14*2.5*2.5*10
⇒ 196.25 cm³
Hence the volume of Glass of type A is 196.25 cm³
Glass of type B :
Glass of type B has hemispherical raised bottom (Given)
Therefore,
The volume of glass type of B = πr²h - 2/3πr³
⇒ (3.14*2.5*2.5*10) - (2/3*3.14*2.5*2.5*2.5)
⇒ 196,25 - 32.71
⇒ 163.54 cm³
hence the volume of glass of type B is 163.54 cm³
Glass of type C :
Since the glass of type C has conical raised bottom of height 1.5 cm
Volume of glass of type C = πr²h - 1/3πr²h
⇒ (3.14*2.5*2.5*10) - (1/3*3.14*2.5*2.5*10)
⇒ 196.25 - 65.42
⇒ 130.83 cm³
Answer (2)
So, the glass of type C has the minimum volume.
Answer 3
By choosing the glass of type A, the juice seller is showing that he is an honest person because the capacity of glass of type A is more than the other two types of glasses.