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Geometry
6.18 Total Surface Area of a Cylinder

Total Surface Area of a cylinder = Lateral surface area + Area of two circles (top and bottom circles)

Total surface area = 2*pi*r2 + 2*pi*r*h = 2 * pi * r * (r+h).

Example:
The ratio of the radius and height of a cylinder is 5:3. The radius is 25cm. Find its total surface area.
Solution:
Given that r = 25cm.
Height (h) = 3/5 * 25 = 15cm.
Total surface area = 2 * pi * r * (h+r).
= 2 * 22/7 * 25(25+15)
= 1100/7 * 40
= 6285.71 Sq. cm.


Directions: Solve the following problems and write the answer in two decimal places. Also write at least 5 examples of your own.
Q 1: The ratio of the radius and height of a cylinder is 4:3. The radius is 16cm. Find its total surface area.
2188 Sq. cm.
2186 Sq. cm.
2182 Sq. cm.
2184 Sq. cm.

Q 2: The ratio of the radius and height of a cylinder is 5:2. The radius is 35cm. Find its total surface area.
10786 Sq. cm.
10784 Sq. cm.
10780 Sq. cm.
10788 Sq. cm.

Q 3: The ratio of the radius and height of a cylinder is 3:4. The radius is 21cm. Find its total surface area.
6464 Sq. cm.
6466 Sq. cm.
6468 Sq. cm.
6462 Sq. cm.

Q 4: The ratio of the radius and height of a cylinder is 7:5. The radius is 21cm. Find its total surface area.
4756 Sq. cm.
4754 Sq. cm.
4752 Sq. cm.
4758 Sq. cm.

Q 5: The ratio of the radius and height of a cylinder is 5:6. The radius is 25cm. Find its total surface area.
8646.86 Sq. cm.
8642.86 Sq. cm.
8648.86 Sq. cm.
8644.86 Sq. cm.

Q 6: The ratio of the radius and height of a cylinder is 4:3. The radius is 24cm. Find its total surface area.
6332 Sq. cm.
6338 Sq. cm.
6334 Sq. cm.
6336 Sq. cm.

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Question 8: This question is available to subscribers only!


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