plz solve it by giving full explanation
Answers
Answer:
75 vessels can be filled with the water
Step-by-step explanation:
no of vessels = volume of water / volume of small vessel
volume of water = volume of large vessel = πr²h
h1 = 24 cm, diameter = 40cm so, radius= 20cm
volume of large vessel = π*20²*24 = 30159 cm³ - - - - (1)
volume of small vessel = πr²h
h2 = 10 cm, diameter = 8cm, so. radius =4cm
volume of small vessel = π*4²*8 = 402cm² - - - - (2)
no of vessels = 30159 / 402 = 75 vessels
Let, there are n small cylindrical bottles which can be filled with the vessel's water
Now, according to the question :
n × π r^2×h = π R^2H
Here, R = 40/2 = 20 cm. And H = 24 cm.
r = 8/2 = 4 cm. And h = 10 cm.
Now, n = πR^2H/πr^2h
=> n = (20×20×24)/(4×4×10)
=> n = 60
So, 60 bottles can be filled with the water ✔