The sum of the radius and height of a cylinder is 24 cm and the total surface area of the cylinder is 3168 cm². Find the height and volume of the cylinder.
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Answer:
Sum of radius and height
= r + h = 24 cm
Total Surface area of cylinder = 2πr(r+h)
Putting value of r+h in Total surface area
2πr(24) = 3168
r = 21cm
Therefore height = 24-r = 24-21 = 3cm
Volume = πr²h
== 22/7× 21×21×3 cm³
==4156.32 cm³
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