Question

A cylindrical vessel is partly filled with water.Its circular base is of radius 3.5cm. when a cuboidal stone of base area 14cm square is dropped into the vessel,the level of water is raised by 3cm .Find the height of given stone.​

Answer 1

Volume of stone = volume of water in cylindrical vessel.

$14 \times h = \pi \times ( { \frac{7}{2} )}^{2} \times 3 \\ \\ \\ \\ h = \frac{22}{7} \times \frac{7}{2} \times \frac{7}{2} \times 3 \times \frac{1}{14} \\ \\ \\ \\ \\ height \: of \: stone \: = 8.24cm.$

Answer 2

8.24 cm

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