A 40m deep well with radius 3.5m is dug & the earth taken out is evenly spead to from a platform of dimension 28m by 22m.find the heght of the platfoem?
28*22*h = π*3.5^2*40
h ≈ 2.5m
2.5
student
please you can long solution?
to work
To find the height of the platform, we need to calculate the volume of the well and the volume of the platform.
1. Calculate the volume of the well:
The formula for the volume of a cylinder is V = πr^2h, where r is the radius and h is the height.
Given the radius of the well is 3.5m and the depth is 40m, we can substitute those values into the formula:
V_well = π * (3.5)^2 * 40
2. Calculate the volume of the platform:
The formula for the volume of a rectangular box is V = lwh, where l is the length, w is the width, and h is the height.
Given the dimensions of the platform are 28m by 22m, we can substitute those values into the formula:
V_platform = 28 * 22 * h
3. Since the earth taken from the well is evenly spread to form the platform, the volume of the well is equal to the volume of the platform:
V_well = V_platform
4. Set the two equations equal to each other and solve for h (the height of the platform):
π * (3.5)^2 * 40 = 28 * 22 * h
Now, we can plug these values into a calculator or mathematical software to find the height of the platform.