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A 12m deep well with diameter 35m is dug up and the earth from it is spread evenly to form a platform 10.5m x 8.8m . Find the height of the platform.?
Most Upvoted Answer
A 12m deep well with diameter 35m is dug up and the earth from it is s...
Volume of earth dugged out- 2×22/7×17.5x12=1320 m² let th height of platform raises by h meters[volume of the platform=volume of earth dug out..... lxbxh=1320 10.5x8.8xH=1320 92.4×h=1320 h=1320/92.4 h=14.29 m
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A 12m deep well with diameter 35m is dug up and the earth from it is s...
Problem:
A 12m deep well with diameter 35m is dug up and the earth from it is spread evenly to form a platform 10.5m x 8.8m. Find the height of the platform.
Solution:
Step 1: Calculate the volume of the well
To find the height of the platform, we need to calculate the volume of the well first. The well is in the shape of a cylinder, so we can use the formula for the volume of a cylinder:
V = πr^2h
Given that the diameter of the well is 35m, we can find the radius by dividing it by 2:
r = 35m / 2 = 17.5m
The height of the well is given as 12m.
Now we can substitute the values into the formula:
V = π(17.5m)^2(12m)
Calculating the volume gives us:
V = 3.14 x 17.5^2 x 12 = 11304m^3
Step 2: Calculate the area of the platform
The platform is in the shape of a rectangle, so we can use the formula for the area of a rectangle to find its area:
A = length x width
Given that the length of the platform is 10.5m and the width is 8.8m, we can substitute the values into the formula:
A = 10.5m x 8.8m
Calculating the area gives us:
A = 92.4m^2
Step 3: Calculate the height of the platform
To find the height of the platform, we need to divide the volume of the well by the area of the platform:
Height of platform = Volume of well / Area of platform
Substituting the values we calculated earlier:
Height of platform = 11304m^3 / 92.4m^2
Calculating the height gives us:
Height of platform = 122.4m
Answer:
The height of the platform is 122.4m.
A 12m deep well with diameter 35m is dug up and the earth from it is spread evenly to form a platform 10.5m x 8.8m. Find the height of the platform.
Solution:
Step 1: Calculate the volume of the well
To find the height of the platform, we need to calculate the volume of the well first. The well is in the shape of a cylinder, so we can use the formula for the volume of a cylinder:
V = πr^2h
Given that the diameter of the well is 35m, we can find the radius by dividing it by 2:
r = 35m / 2 = 17.5m
The height of the well is given as 12m.
Now we can substitute the values into the formula:
V = π(17.5m)^2(12m)
Calculating the volume gives us:
V = 3.14 x 17.5^2 x 12 = 11304m^3
Step 2: Calculate the area of the platform
The platform is in the shape of a rectangle, so we can use the formula for the area of a rectangle to find its area:
A = length x width
Given that the length of the platform is 10.5m and the width is 8.8m, we can substitute the values into the formula:
A = 10.5m x 8.8m
Calculating the area gives us:
A = 92.4m^2
Step 3: Calculate the height of the platform
To find the height of the platform, we need to divide the volume of the well by the area of the platform:
Height of platform = Volume of well / Area of platform
Substituting the values we calculated earlier:
Height of platform = 11304m^3 / 92.4m^2
Calculating the height gives us:
Height of platform = 122.4m
Answer:
The height of the platform is 122.4m.
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A 12m deep well with diameter 35m is dug up and the earth from it is spread evenly to form a platform 10.5m x 8.8m . Find the height of the platform.?
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A 12m deep well with diameter 35m is dug up and the earth from it is spread evenly to form a platform 10.5m x 8.8m . Find the height of the platform.? for Class 9 2024 is part of Class 9 preparation. The Question and answers have been prepared according to the Class 9 exam syllabus. Information about A 12m deep well with diameter 35m is dug up and the earth from it is spread evenly to form a platform 10.5m x 8.8m . Find the height of the platform.? covers all topics & solutions for Class 9 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A 12m deep well with diameter 35m is dug up and the earth from it is spread evenly to form a platform 10.5m x 8.8m . Find the height of the platform.?.
A 12m deep well with diameter 35m is dug up and the earth from it is spread evenly to form a platform 10.5m x 8.8m . Find the height of the platform.? for Class 9 2024 is part of Class 9 preparation. The Question and answers have been prepared according to the Class 9 exam syllabus. Information about A 12m deep well with diameter 35m is dug up and the earth from it is spread evenly to form a platform 10.5m x 8.8m . Find the height of the platform.? covers all topics & solutions for Class 9 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A 12m deep well with diameter 35m is dug up and the earth from it is spread evenly to form a platform 10.5m x 8.8m . Find the height of the platform.?.
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