Question

Earth is dug out in a cylindrical shape from a plot of land the whole is 30 M Deep and 7 m in diameter ,this earth is spread out on an adjacent plot of land which is in the shape of a rectangle of length 33 M and breadth 14 m ,to what extent will the height of the rectangular plot rice?

Answer 1

volume of earth dug out = volume of cuboid plot

ie vol of cylinder= volume of cuboid

$\pi {r}^{2} h = l \times b \times h \\ \frac{22}{7} \times \frac{7}{2} \times \frac{7}{2} \times 30 = 33 \times 14 \times h \\ 11 \times 7 \times 15 = 33 \times 14 \times h \\ h = \frac{11 \times 7 \times 15}{33 \times 14} \\ \\ h = 2.5m$

height of mud on the field is 2.5m