Find the depth of a cylindrical tank of radius 28 m, if its capacity is equal to that of a rectangular tank of size 28 m × 16 m × 11 m.
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Answer:
The depth of a cylindrical tank is 2 cm
Step-by-step explanation:
SOLUTION:
Given: Radius of a cylindrical tank = 28 cm
Length of a tank (l) = 28 cm
Breadth of a tank (b) = 16 cm
Height of a tank (h) = 11 cm
Let H be the depth of a cylindrical tank.
Capacity(volume) of cylindrical tank = capacity(volume) of rectangular tank (given)
πr²H = l × b × h
22/7 × (28)² × H = 28 × 16 × 11
H = (28 × 16 × 11 × 7) / (22 ×28 × 28)
H = 16 / 8 = 2
H = 2 cm
Hence, the depth of a cylindrical tank is 2 cm
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