drinking water is filled in a water tanker which is in the shape of cylinder with hemispherical ends as shown in the length of the tank is 4.2 metre find the diameter of the base of the cylinder and two squares are each 1.2 if we distribute drinking
Answers
Answered by
0
Step-by-step explanation:
Given drinking water is filled in a water tanker which is in the shape of cylinder with hemispherical ends .The whole length of tanker is 4.2 m and the diameter of the base cylinder and two hemispheres are each 1.2 m if they distribute drinking water to 60 people in a container each in shape of a cylinder of radius 21 cm and height 50 cm. Find the quantity of water left in the container after distributing in litre.
- Total height of the tank = 4.2 m
- Diameter of cylinder = 1.2 m , so r = 0.6 m
- Now height = (4.2 – 1.2) = 3
- So r will be radius of hemisphere and cylinder.
- Volume of tank = volume of cylinder + 2 x volume of hemispheres.
- = π r^2 h + 2 x 2/3 πr^3
- = π r^2 h + 2 x 4/3 πr^3
- = 22/7 x (0.6)^2 x 3 + 4/3 x 22/7 x (0.6)^3
- = 3.3942 + 0.9051
- = 4.2993 m^3
- Radius r1 = 21 cm = 0.21 m
- Height of container h1 = 50 cm = 0.5 m
- Now volume of first container = π r1^2h1
- = 22/7 x 0.21 x 0.21 x 0.5
- = 0.0693
- Volume of 60 containers = 60 x 0.0693
- = 4.158 m^3
- So amount of water left in the tank = volume of tank – volume of 60 containers
- = 0.1413 m^3
- Now 1 m^3 = 1000 litres
- So water left in the tank will be 141.3 litres.
- Now height of cylinder = total height – 2 x radius of hemisphere
- = 4.2 – 1.2
- = 3 m
Reference link will be
https://brainly.in/question/1939701
Similar questions