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A well of diameter 3 m is dug 21 m deep. The earth taken out of it is spread evenly all around it to a width of 4 m to form an embankment, find the height of embankment. |
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Answer» Answer: Answer: 0.5235 m. Step-by-step explanation: Diameter of well = 3 m Radius of well = Diameter/2 = 3/2 =1.5 m Depth of well = 21 m Well is in the shape of cylinder Volume of well = \pi r^{2} hπr 2 h = 3.14 \times 1.5 ^{2} \times 21=3.14×1.5 2 ×21 = 148.365 m^3=148.365m 3
Radius of embankment = Radius of well + width = 1.5 + 8 = 9.5 m Since , Embankment is in the shape of cylinder . So, volume of embankment = \pi r^{2} hπr 2 h = 3.14 \times 9.5^{2} \times h=3.14×9.5 2 ×h = 283.385h=283.385h Since the earth is taken out from the well is USED to make embankment . So, volume will be equal. \Rightarrow 148.365 =283.385h⇒148.365=283.385h \Rightarrow \FRAC{148.365}{283.385}=h⇒ 283.385 148.365
=h \Rightarrow 0.5235=h⇒0.5235=h Hence the height of the embankment is 0.5235 m. Hope it helps you. Plz MARK as Brainliast. And FOLLOW |
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