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Online Quiz (Worksheet A B C D)

Questions Per Quiz = 2 4 6 8 10

High School Mathematics
4.60 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 5:2. The radius is 35cm. Find its total surface area.
10786 Sq. cm.
10780 Sq. cm.
10784 Sq. cm.
10788 Sq. cm.

 Q 2: 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.
2184 Sq. cm.
2182 Sq. cm.
2186 Sq. cm.

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 Question 4: This question is available to subscribers only!


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