Mayank has a cuboidal shaped container with square base and Mohit’s container is
cylindrical shaped. The dimensions of Mayank’s container are 10cm x 10cm x 0.5m.
When both the containers are filled with lemon juice up to the brim, Mohit has got 4.4
litre of juice. Both containers are open at top.
a) How much juice Mayank has in litres?
b) Find the diameter of Mohit’s container if the height is 70cm.
c) Find the ratio of their surface areas.
d) Calculate area of the bottom of Mohit’s container.
e) If the radius of Mohit’s container is doubled and height is halved, what will be its
capacity now?
Answers
Given : Mayank has a cuboidal shaped container with square base
Mohit’s container is cylindrical shaped.
The dimensions of Mayank’s container are 10cm x 10cm x 0.5m.
Mohit has got 4.4 litre of juice.
Both containers are open at top.
To Find : a) How much juice Mayank has in litres?
b) Find the diameter of Mohit’s container if the height is 70cm.
c) Find the ratio of their surface areas.
d) Calculate area of the bottom of Mohit’s container.
e) If the radius of Mohit’s container is doubled and height is halved, what will be its capacity now?
Solution:
juice Mayank has in litres
0.5 m = 50 cm
Volume = 10 x 10 x 50 = 5000 cm³
1000 cm³= 1 litre
=> Volume = 5 litre
juice Mayank has in litres = 5
diameter of Mohit’s container if the height is 70cm.
Volume of mohit = πr²h = πd²h/4
r = radius , d = diameter
Volume of mohit = 4.4 litre = 4400 cm³
(22/7)d²(70)/4 = 4400
=> d² = 80
=> d = 8.94 cm
inner and outer surface areas are same for both
Surface area of Cuboid = 10x 10 + 2(10 x 50 + 10 x 50) = 2100 cm²
surface area of cylinder = πd²/4 + πdh = 20π + 625.8π = 2,029 cm²
Ratio = 2100/2029 = 1.035
area of the bottom of Mohit’s container = πd²/4
= (22/7)*20
= 62.85 cm²
radius of Mohit’s container is doubled and height is halved,
(2² / 2) = 2 - capacity will be doubled
Learn More:
If the 2.1l soft drinks are retained in cylinder, what is the capacity of ...
https://brainly.in/question/12529953
find the capacity of cylindrical vessels at your home and express the ...
https://brainly.in/question/17860602