find the capacity (in liters) of a cylindrical vessel open at the top whose internal diameter is 8.4 cm and depth is 20 cm
Answers
Given data : A cylindrical vessel open at the top whose internal diameter is 8.4 cm and depth is 20 cm.
To find : find the capacity (in liters) of a cylindrical vessel open at the top ?
Solution : Here,
- Internal diameter, d = 8.4 cm
- Internal radius, r = d/2 = 8.4/2 = 4.2 cm
- Depth or Height, h = 20 cm
By formula of volume of cylinder
➜ volume of cylindrical vessel = πr²h
➜ volume of cylindrical vessel = 22/7 * (4.2)² * 20
➜ volume of cylindrical vessel = 22/7 * 17.64 * 20
➜ volume of cylindrical vessel = 22 * 2.52 * 20
➜ volume of cylindrical vessel = 55.44 * 20
➜ volume of cylindrical vessel = 1108.8 cm³
Here, we know
- 1 cm³ = 0.001 litres
Hence,
➜ capacity of cylindrical vessel
= volume of cylindrical vessel * 0.001
➜ capacity of cylindrical vessel
= 1108.8 * 0.001
➜ capacity of cylindrical vessel
= 1.1088 litres
Answer : Hence capacity of the cylindrical vessel is 1.1088 litres.
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