How many cubic metres of earth must be dug out to create a well of 12m deep and of diameter 7 m? a)268m³ b)324m³ c)376m³ d)462m³
Answers
D) 462 m^3
Step-by-step explanation:
Depth= h =12m
Diameter = 7m
So, radius=r= 3.5 m
Volume of cylinder = Tr^2h= 461.81 m^3
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Given : a well of 12 m deep and of diameter 7m to be created
To Find : How many cubic meters of earth must be dug out to create
A) 268 m³ B) 324 m³ C) 376 m³ D) 462 m³
Solution:
Well is in the shape of cylinder
To find earth must be dug , need to find volume of earth must be dug
Volume of cylinder = πr²h
π = 22/7
r = Radius = (diameter /2) = 7/2 m
h = depth =12 m
Volume of Earth = (22/7) (7/2)² *12
= 22 * 7 * 3
= 22 * 21
= 462 m³
Hence 462 cubic metres of earth must be dug out to create a well of 12 m deep and of diameter 7m
Correct answer is option D) 462 m³
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