Two solids of cylindrical shape are 49cm and 35cm high and base
diameters 16cm and 14cm are melted and recast into new cylinder.
Find the volume of the new cylinder formed
Answers
Step-by-step explanation:
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Given -
Height of 1st cylinder = 49cm
Diameter of 1st cylinder = 16cm
Radius of 1st cylinder = 16/2 = 8cm
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Height of 2nd cylinder = 35cm
Diameter of 2nd cylinder = 14cm
Radius of 2nd cylinder = 14/2 = 7cm
To find -
Volume of the new cylinder formed.
Solution -
Let's find the volume of both the cylinders.
Volume of 1st cylinder = πr²h
Where,
π = 22/7
r = Radius
h = Height
On substituting the values -
Volume = πr²h
Volume = 22/7 × 8 × 8 × 49
Volume = 9856cm³
Volume of 2nd cylinder - πr²h
Volume = 22/7 × 7 × 7 × 35
Volume = 22 × 7 × 7 × 5
Volume = 5390cm³
Now,
Volume of new cylinder formed = volume of 1st cylinder + Volume of 2nd cylinder
Volume = 9856 + 5390 cm³
Volume = 15246cm³
∴ The Volume of the new cylinder formed is 15246cm³