Question

4) A Well of diameter 14m, as dug 15 in deep, the earth taken out of it has been spread evenly all round it in the shape a circular ring of width 7cm to form an embankment. find the height of the embankment.​

Answer 1

Answer:

https://goo.gl/search/A+well+of+diameter+14m

A well with inner diameter 14m is 15m deep and the class 10 maths CBSE Here we are given that a well is dug with inner diameter 14m and is of depth 15m. So, we can understand that the well is a cylinder with diameter 14m and height 15m. So, the radius of the well is 7m and height 15m. We are also given that the earth dug is spread around the well to form an embankment.

Answer 2

$r = 7m \\ h = 15m \\ volume \: \: of \: \: mud = \pi \: r {}^{2}h \\ = 22\7 \times 7 \times 15 \\ = 2310m {}^{3} \\ \\ area \: \: of \: \: ring = \pi(14 {}^{2} - 7 {}^{2} ) \\ = > \pi(14 + 7)(14 - 7) \\ = > 14 + \pi$

$height = \frac{volume \: of \: mud}{area \: of \: ring} \\ \\ = \frac{2310}{147\pi} = 5m$

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