Ramesh, a juice seller has set up his juice shop. He has three types of glasses, inner diameter 5cm to serve the customer. The height of the glasses is 10cm (use pi=3.14.)
Type A-a glass with plane bottom. Type B-a glass with hemisperhical raised bottom and Type C- a glass with conical raised bottom height 1.5cm.
He decided to serve the customer in "A type of glasses".
(i) find the volume of glass of type
(ii) which has the minimum capacity?
(iii) By choosing a glass of type A, which value is depicted by juice seller Ramesh.
please answer in detail.
Answers
Answered by
134
Solution:-
Answer 1
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.
Answer 1
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.
Answered by
76
Solution
(i)Type A
given; Diameter (d)=5 cm
height (h)=10cm
we know that volume of cylinder is given as;
V= πd²h/4
V= (3.14*5*5*10)/4 =196.25 cm³
Volume of glass of type A is 196.25 cm³
Type B
it's been given that the bottom is hemispherical
so V=(πd²h/4) - 2/3(πd³/8)
⇒ V= (3.14*5*5*10/4) - 2/3(3.14*5*5*5/8) = 163.542 cm³
Volume of glass of type B is 163.542 cm³
Type C
it's been given that the bottom is conical of height (h₁) = 1.5cm
so V=(πd²h/4)-1/3(πd²h₁/4)
⇒ V=(3.14*5*5*10/4)-1/3(3.14*5*5*1.5/4) = 186.4375 cm³
Volume of glass type C is 186.4375cm³
(ii) So glass of type B has minimum volume
(iii) By choosing glass of type A the juice seller is providing his customer with maximum amount of juice that he can offer in all the cases.
(i)Type A
given; Diameter (d)=5 cm
height (h)=10cm
we know that volume of cylinder is given as;
V= πd²h/4
V= (3.14*5*5*10)/4 =196.25 cm³
Volume of glass of type A is 196.25 cm³
Type B
it's been given that the bottom is hemispherical
so V=(πd²h/4) - 2/3(πd³/8)
⇒ V= (3.14*5*5*10/4) - 2/3(3.14*5*5*5/8) = 163.542 cm³
Volume of glass of type B is 163.542 cm³
Type C
it's been given that the bottom is conical of height (h₁) = 1.5cm
so V=(πd²h/4)-1/3(πd²h₁/4)
⇒ V=(3.14*5*5*10/4)-1/3(3.14*5*5*1.5/4) = 186.4375 cm³
Volume of glass type C is 186.4375cm³
(ii) So glass of type B has minimum volume
(iii) By choosing glass of type A the juice seller is providing his customer with maximum amount of juice that he can offer in all the cases.
pullspulkit1:
Please mark it as Brainliest
Similar questions