# <span lang="EN-US

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.

Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Experts
Dedicated counsellor for each student
24X7 Doubt Resolution
Daily Report Card
Detailed Performance Evaluation view all courses RELATED QUESTIONS :

The lateral surfaRS Aggarwal & V Aggarwal - Mathematics

The diameter of aRS Aggarwal & V Aggarwal - Mathematics

The ratio betweenRS Aggarwal & V Aggarwal - Mathematics

The total surfaceRS Aggarwal & V Aggarwal - Mathematics

Which is false inRS Aggarwal & V Aggarwal - Mathematics

If the curved surRS Aggarwal & V Aggarwal - Mathematics

The curved surfacRS Aggarwal & V Aggarwal - Mathematics

The radii of two RS Aggarwal & V Aggarwal - Mathematics