cylindrical well 7 m in diameter and 33 m deep is dug and the earth removed spread evenly on a rectangular plot of land measuring 44 m x 25 m to form a platform of height h. Find the value of h correct to 2 decimal places.
Answers
The value of h correct to 2 decimal places is 1.15 m.
Step-by-step explanation:
The dimension of the cylindrical well:
Diameter, d = 7 m
So, radius, r = d/2 = 3.5 m
Height, h = 33 m
We know that,
Volume of the earth dug out is given by,
= Volume of the cylinder
= π r² h
= 22/7 × 3.5 × 3.5 × 33
= 1270.5 m³
Now,
The dimension of the rectangular plot:
Length, l = 44 m
Breadth, b = 25 m
∴ Area of the platform formed by the spreading earth on the rectangular plot is,
= Length × breadth
= 44 × 25
= 1100 m²
The height of the platform is given as "h" m
Therefore,
The height of the platform, h
= [Volume of the earth dug out] / [area of the platform]
= 1270.5/1100
= 1.15 m
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Step-by-step explanation:
Diameter = 7m
Then, Radius = 7/2 = 3.5 m
Height = 33m
Volume of the cylindrical well = πr²h
= 22/7× 3.5×3.5×33
= 1270.5 m³
Now, dimensions of rectangular plot
Length = 44 m
Breadth = 25 m
Area of rectangular plot = l×b
= 44×25 =1100m²
Height of the platform is given "h" m
Height of the platform (h) = volume of cylindrical well/volume of rectangular plot
= 1270.5/1100
1.15 m
Hope it helps you!!!