Q. 314.2( 21 Votes )

# In a village, a well with 10 m inside diameter, is dug 14 m deep. Earth taken out of it is spread all around to a width of 5 m to form an embankment. Find the height of the embankment. What value of the villagers is reflected here?

Answer :

Given,

Diameter of the well = 10 m

Radius of the well = 5 m

Height of the well = 14 m

Width of the embankment = 5 m

Therefore radius of the embankment = 5 + 5 = 10 m

Let h be the height of the embankment,

Hence,

The volume of the embankment = volume of the well

π(R – r)^{2}h = πr^{2}h

(10^{2} – 5^{2}) x h = 5^{2} x 14

(100 – 25) x h = 25 x 14

h =

Therefore,

The height of the embankment, h = 4.67 m

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PREVIOUSMarbles of diameters 1.4 cm are dropped into a cylindrical beaker of diameter 7 cm, containing some water. Find the number of marbles that should be dropped into beaker so that the water level rises by 5.6 cm.NEXTIn a corner of a rectangular field with dimensions 35 m × 22 m, a well with 14m inside diameters is dug 8 m deep. The earth dug out is spread evenly over the remaining part of the field. Find the rise in the level of the field.

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