Answer:
a. 1.32 m³
b. 1.32 kL
c. 105.04 m
Step-by-step explanation:
Area of roof = 110 m²
Rain fall = 12mm = (12/1000)m = 0.012 m
(a) Volume of water that fell on roof = Area of roof × Rain depth
= 110 × 0.012
= 1.32 m³
(b) 1 m³ = 1 kL
∴ 1.32 m³ = 1.32 kL
(c) Radius of tank = (4/2) = 2 m
Volume of tank = Base area × Height
= πr²h
= π × (2)² × h
= 4πh
The volume added to the tank must be equal to the volume which falls on roof.
i.e. Volume of tank = Volume of water that fell on roof
or, 4πh = 1.32
or, h = 1.32 / (4π)
∴ h = 0.10504 m = (0.10504/100)cm = 10.504 cm
∴ The water level rises by about 10.504 cm.
