a cube of side 22 cm is melted to form cylinders of radius 7 cm and height 121/7 cm. how many such cylinders can be formed
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Answer :
- 4 cylinders will be formed
Given :
- side of cube, s = 22 cm
- radius of cylinders, r = 7 cm
- height of cylinders, h = 121/7 cm
To find :
- On melting the cube, how many cylinders of given radius and height could be formed.; Let n = ?
Knowledge required :
- Formula to calculate volume of cube
Volume of cube = ( side )³
- Formula to calculate volume of Cylinder
Volume of cylinder = π r² h
( where r is radius and h is height of cylinder )
Solution :
Calculating volume of cube
→ Volume of cube = ( side )³
→ volume of cube = ( 22 )³
→ Volume of cube = 10648 cm³
Calculating volume of each cylinder
→ volume of cylinder = π r² h
→ volume of cylinder = (22/7) × (7)² × (121/7)
→ volume of cylinder = 22 × 121
→ volume of cylinder = 2662 cm³
Calculating number of such cylinders formed
Let, number of such cylinders formed = n
→ n = V of cube / V of each cylinder
→ n = 10648 / 2662
→ n = 4
therefore,
4 cylinders will be formed on melting the cube.
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