Question

A cylindrical bucket, 28 cm in diameter and 72 cm high, is full of water. The water is emptied into a rectangular tank, 66 cm long and 28 cm wide. Find the height of the water level in the tank.
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Answer 1

Answer:

Diameter of the bucket = 28cm

Radius = 28/2 = 14cm

Height of the bucket = 72cm

Length of the tank = 66cm

Breadth of tank = 28cm

Volume of tank = volume of cylindrical bucket

l × b × h = π r2h

By substituting the values

$66 × 28 × h = ( \frac{22}{7} ) × (14)2 × 72$

On further calculation

$h = ( \frac{22 × 2 × 14 × 72}{66 × 28})$

$\boxed{\boxed{ \underline{\underline{ \footnotesize \sf \pink{ h = 24cm}}}}}$

Therefore, the height of the water level in the tank is 24cm.

Step-by-step explanation:

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