SOLUTION: 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 o
Algebra.Com
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
RELATED QUESTIONS
6.6mm of rain fall onto a rectangular roof 8m long and 6m wide. The rain water drains... (answered by ikleyn)
19 Roofing: A flat roof 28 ft long and 16 ft wide has a 3-in depth of water sitting on... (answered by bucky)
Roofing: A flat roof 28 ft long and 16 ft wide has a 3 in depth of water sittin on it.... (answered by checkley71)
a meral storage water tank is in the form of a cylinderwith one hemispherical endof... (answered by josgarithmetic)
Rainwater from a flat roof 44m x 12m flows into a cylindrical tank of diameter 4m. What... (answered by Theo)
Question1:
A rectangular tank is 3m by 2.4m by 2m and is full of water. The water is... (answered by mananth)
Find the mass of water that has fallen onto a flat roof 10.4m long and 6.5m wide when... (answered by ikleyn)
A 100m^2 factory flat roof feeds all the water collected to a rainwater tank. If there is (answered by math_tutor2020)
A closed cylindrical tank is 8 feet long and 3feet in
diameter. When lying in a... (answered by math_helper)