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How many cubic metres of earth must be dug out to sink a well 22.5 m deep and of diameter 7 m.
- a)866.25 m3
- b)495 m3
- c)77.82 m3
- d)748 m3
Correct answer is option 'A'. Can you explain this answer?
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How many cubic metres of earth must be dug out to sink a well 22.5 m d...
To find the volume of earth that needs to be dug out to sink a well, we can use the formula for the volume of a cylinder.
The formula for the volume of a cylinder is given by V = πr^2h, where V is the volume, r is the radius, and h is the height.
Given that the diameter of the well is 7 m, we can find the radius by dividing the diameter by 2. So, the radius (r) is 7/2 = 3.5 m.
The height (h) of the well is given as 22.5 m.
Now, we can substitute the values into the formula to find the volume (V) of the well:
V = π(3.5^2)(22.5)
V = π(12.25)(22.5)
V = 866.25π
So, the volume of earth that needs to be dug out to sink the well is 866.25π cubic meters.
Approximating the value of π to 3.14, we can calculate the volume as:
Volume = 866.25 * 3.14
Volume ≈ 2718.075 cubic meters
Therefore, the correct answer is option A) 866.25 m3.
The formula for the volume of a cylinder is given by V = πr^2h, where V is the volume, r is the radius, and h is the height.
Given that the diameter of the well is 7 m, we can find the radius by dividing the diameter by 2. So, the radius (r) is 7/2 = 3.5 m.
The height (h) of the well is given as 22.5 m.
Now, we can substitute the values into the formula to find the volume (V) of the well:
V = π(3.5^2)(22.5)
V = π(12.25)(22.5)
V = 866.25π
So, the volume of earth that needs to be dug out to sink the well is 866.25π cubic meters.
Approximating the value of π to 3.14, we can calculate the volume as:
Volume = 866.25 * 3.14
Volume ≈ 2718.075 cubic meters
Therefore, the correct answer is option A) 866.25 m3.
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How many cubic metres of earth must be dug out to sink a well 22.5 m deep and of diameter 7 m.a)866.25 m3b)495 m3c)77.82 m3d)748 m3Correct answer is option 'A'. Can you explain this answer?
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