The Circumference Of The Base Of a Cylindrical Vessel Is 132 Cm And Its Height Is 25 cm. How Many Litres Of water Can It Hold?
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Answered by
4
Answer:
34.65 litres
34.65 litresIt is given that the circumference of the base of a cylindrical vessel is 132 cm and its height is 25 cm. We have found that the capacity of the cylindrical vessel is 34.65 litres.
Answered by
3
Answer :
- 34.65 litres of water can It hold.
Given :
- The circumference of the base of a cylindrical vessel Is 132 cm And Its height Is 25 cm.
To find :
- How Many litres of water can It hold?
Solution :
We know that
- Number of litres of water is Volume of cylinder (πr²h)
- Let the radius be r
- Height is 25cm
And also Given circumference is 132cm.
We need to find the radius :
We know that
↦ Circumference = 2πr
↦ 2πr = 132
↦ 2 × 22/7 × r = 132
↦ r = 132 × 7 / 2 × 22
↦ r = 21cm
Radius is 21cm.
Now we need to find the litres of water can It hold :
We know that
- Volume of cylinder(Number of litres of water) = πr²h
↦ Number of litres of water = πr²h
↦ 22/7 × (21)² × 25
↦ 22/7 × 21 × 21 × 25
↦ 22 × 3 × 21 × 25
↦ 34650cm³
↦ 34650 × (1/1000) litres
↦ 34.65 litres
Hence , 34.65 litres of water can It hold.
More Explanation :
- 1000 cm³ = 1 litre
- 1cm³ = 1/1000 litre
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