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Question 880988: a flat rectangular roof is 14m long and 8m wide, When it rains, the water is collected in a cylindrical tank.
a. Calculate the volume of water collected on the roof when 25mm of rain falls.
b. How many liters does the roof collect?
c. The cylindrical tank has a radius of 1.8m and is 2.4m high. What is the capacity of the tank in liters
d. By how much does the depth of the water in the tank rise when the rain falls? answer in centimeters, correct to 1 decimal place.
I'm unsure how to go about working these questions out. Some help would be much appreciated. Thank you!
Answer by dkppathak(439)   (Show Source):
You can put this solution on YOUR website! a flat rectangular roof is 14m long and 8m wide, When it rains, the water is collected in a cylindrical tank.
a. Calculate the volume of water collected on the roof when 25mm of rain falls.
b. How many liters does the roof collect?
c. The cylindrical tank has a radius of 1.8m and is 2.4m high. What is the capacity of the tank in liters
d. By how much does the depth of the water in the tank rise when the rain falls? answer in centimeters, correct to 1 decimal place.
Answer
v=lxbxh m^3
rain fall is 25mm= 25/1000= .025 m
(a)volume of water collected = 14x8x.025= 2.8 m^3 we know 1 m^3=1000 liters
(b)water collected in liters= 2.8x1000=2800 liters
(c) capacity of tank means volume = pie r^2 h= 3.14x1.8x1.8x2.4 =24.4166 m^3
=24416.6 liters
(d).025= 3.14x1.8x1.8xh
h=.025/3.14x1.8x1.8
h=.025/10.1736=0.002457 m=0.24 cm
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