The height of a conical vessel is 3.5 cm. If its capacity is 3.3 litres of milk. Find the diameter of its base.
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Given : Height of a conical vessel = 3.5 cm
Capacity of conical vessel = 3.3 litres or 3300 cm³
Now,
We know, Volume of cone = 1/3 πr²h
3300 = 1/3 x 22/7 x r² x 3.5
3300 × 3 = 22 × r² × 0.5
3300 × 3 = 11r²
r² = 9900/11
r² = 900
r = √900
r = 30
Radius of cone = 30 cm
diameter of its base ,d = 2 × Radius
d = 2 × 30 cm
d = 60 cm
Hence, the diameter of its base is 60 cm.
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