A 20m deep well with diameter 7m is dug up and the earth from digging is spread evenly to form a platform 22m x 14m. Determine the height of the platform.
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Answers
Answered by
23
Answer: 17.5m
Step-by-step explanation:- volume of well = volume of plat form spreaded
22/7×7/2×7/2×20 = 22/7× 14×h
770=44×h
770/44=h
17.5=h
Answered by
42
Answer
Height of the platform is 2.5 m
Explanation
A 20m deep well with diameter 7m is dug up.
We given that, height of well is 20 m and diameter of the well is 7 m.
Radius = Diamter/2 = 7/2 m
Also, earth from digging is spread evenly to form a platform 22m x 14m.
So, length of platform is 22 m and breadth is 14 m.
According to question,
Volume of cylinder = πr²h
⇒ 22/7 × (7/2)² × 20
⇒ 22/7 × 49/4 × 20
⇒ 770 m³
Let the height of the platform be h m.
Therefore,
Volume of the earth in platform = Volume of the earth taken out of the well
⇒ 22 × 14 × h = 770
⇒ h = 770/22 × 14 m
⇒ h = 5/2 m
⇒ h = 2.5 m
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