Q. 123.7( 3 Votes )

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Answer :

Concept Used: Circumference of the base of the cylinder = 2πr


Outer Surface Area of cylinder = 2πrh


Where r = radius of the cylinder and h = height of the cylinder.


Given: r + h = 41 cm


Circumference of the base of cylinder = 2πr = 132 cm


Explanation:


Let us calculate the value of “r” first,


2πr = 132 cm




r = (3 × 7) cm


r = 21 cm.


Now, let us calculate the height of the cylinder,


r + h = 41


Putting the obtained value of “r” we get,


21 + h = 41


h = 20 cm


Now putting the values of “r” and “h” in the formula of Outer Surface Area of the cylinder we get,


The outer surface area of cylinder = 2πr


The outer surface area of cylinder


The outer surface area of cylinder = 120 × 22


The outer surface area of cylinder = 2640 cm2


Hence, the outer surface area of a cylinder is 2640 cm3.


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