Question

A cylindrical vessel 28 cm in diameter and 72 cm high is full of water.The water is emptied into a rectangle tank 66 cm long and 28 cm wide

Answer 1

Given

Cylindrical vessel

Diameter = 28 cm

Radius = 14cm

Height =72cm

Rectangular tank

Length = 66cm

Width =28cm

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Volume of cylinder

$= \pi {r}^{2} h$

THEREFORE

Volume of water in cylindrical bucket

$= \pi \times 14 \times 14 \times 72 \\ \\ = 44352 {cm}^{3}$

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Volume of rectangular tank

$length \times breadth \times height$

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Volume of water in cylindrical vessel = volume of water in rectangular tank

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THEREFORE

$44352 = 66 \times 28 \times height$

Height of the water tank

$\frac{44352}{1848} \\ \\ \\ = 24cm$

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