Ganesh a juice seller has his juice shop near Kutub Minar in Delhi. He has three types of glasses, Type A - A glass with a plane bottom, Type B - A glass with a hemispherical raised bottom, and Type C - A glass with the conical raised bottom of height 1.5 cm. The inner diameter of all types of glass is the same as 5cm to serve the customer. The height of the glasses is 10cm (use pi = 3.14)
Answers
Given : three types of glasses
Type A - A glass with a plane bottom,
Type B - A glass with a hemispherical raised bottom
Type C - A glass with the conical raised bottom of height 1.5 cm.
The inner diameter of all types of glass is the same as 5cm
The height of the glasses is 10cm
pi = 3.14
To Find : The volume of the glass of type A:
The volume of the hemisphere in the glass of type B
The volume of a glass of type B
The volume of the cone in the glass of type C
The volume of a glass of type C
Solution:
Volume of cylinder = πr²h
Volume of hemisphere = (2/3)πr³
Volume of hemisphere = (1/3)πr²h
r = Diameter/2 = 5/2 cm
h = 10 cm
π = 3.14
Type A glass Volume
= 3.14(5/2)²10
= 196.25 cm³
Volume of hemisphere = (2/3)(3.14)(5/2)³
= 32.71 cm³
Type B glass volume
= Type A glass Volume - Volume of hemisphere
= 196.25 - 32.71
= 163.54 cm³
h = 1.5 cm for come
volume of the cone = (1/3)(3.14)(5/2)² * 1.5
= 9.81 cm³
Type B glass volume
= Type A glass Volume - volume of the cone
= 196.25 - 9.81
= 186.44 cm³
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Given :
three types of glasses
- Type A - A glass with a plane bottom,
- Type B - A glass with a hemispherical raised bottom
- Type C - A glass with the conical raised bottom of height 1.5 cm.
The inner diameter of all types of glass is the same as 5cm
The height of the glasses is 10cm
pi = 3.14
To Find :
The volume of the glass of type A:
- The volume of the hemisphere in the glass of type B
- The volume of a glass of type B
- The volume of the cone in the glass of type C
The volume of a glass of type C
Solution:
Volume of cylinder = πr²h
Volume of hemisphere = (2/3)πr³
Volume of hemisphere = (1/3)πr²h
r = Diameter/2 = 5/2 cm
h = 10 cm
π = 3.14
Type A glass Volume
= 3.14(5/2)²10
= 196.25 cm³
Volume of hemisphere = (2/3)(3.14)(5/2)³
= 32.71 cm³
Type B glass volume
= Type A glass Volume - Volume of hemisphere
= 196.25 - 32.71
= 163.54 cm³
h = 1.5 cm for come
volume of the cone = (1/3)(3.14)(5/2)² * 1.5
= 9.81 cm³
Type B glass volume
= Type A glass Volume - volume of the cone
= 196.25 - 9.81
= 186.44 cm³
Learn More:
Hemisphere and a cone both have a same diameter these two metal ...
brainly.in/question/14092291
Mensuration , volume and surface area of solid figures - Cube ...
brainly.in/question/16664050