the circumference of a cylindrical container is 308 cm and width is 30 cm. How many litres of water can it hold?
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Given:
The circumference of a cylindrical is 308 cm.
Its width is 30cm.
Find:
Liters of water can it hold
Solution:
The circumference of the cylindrical vessel is 308 cm.
Circumference => 2πr
=> 2πr = 308
=> 2 × (22/7) × r = 308
=> r = 308 × 1/2 × (7/22)
=> r = 154 × 7/22
=> r = 7 × 7
=> r = 49cm
Radius of the cylindrical is 49cm.
Now,
Volume of cylindrical => πr²h
=> [ (22/7) × 49 × 49 × 30 ] cm³
=> (22 × 7 × 49 × 30) cm³
=> (154 × 49 × 30) cm³
=> 226380 cm³
Hence, it can hold 226.380 L.
Important Information:
Diameter of a Circle D = 2 × r
Circumference of a Circle C = 2 × π × r
Area of a Circle A = π × r2
Where,
- r denotes the radius of the circle.
- d indicates the diameter of the circle.
- c indicates circumference of the circle.
I hope it will help you.
Regards.
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