A cylinder will exactly fit into a rectangular box whose internal dimensions are: length 14 cm, breadth 4 cm and height 4 cm. What is the volume of the cylinder?
Answers
Answer:
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Step-by-step explanation:
The diameter of the cylinder = 4 cm and its height is 14 cm.
Volume of the cylinder = π x 2 x 2 x 14 = 176 cc
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Given,
Length of the given box = 14 centimetres
Breadth of the given box = 4 centimetres
Height of the given box = 4 centimetres
To find,
The volume of the cylinder which exactly fits in the given rectangular box.
Solution,
The cylinder which fits exactly in the given rectangular box, has the height equal to the length of the box and has the diameter equal to the breadth and height of the box.
So,
Height of the cylinder = 14 cm
Diameter of the cylinder = 4 cm
Radius of the cylinder = 4/2 = 2 cm
Volume of the cylinder :
= π×(radius)²×height
= 22/7 × (2)² × 14
= 22 × 4 × 2
= 176 cm²
Hence, the volume of the cylinder is 176 cm³.