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### High School Mathematics4.60 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 5:6. The radius is 25cm. Find its total surface area.8642.86 Sq. cm.8648.86 Sq. cm.8646.86 Sq. cm.8644.86 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 4:3. The radius is 16cm. Find its total surface area.2186 Sq. cm.2188 Sq. cm.2182 Sq. cm.2184 Sq. cm. Q 4: The ratio of the radius and height of a cylinder is 4:3. The radius is 24cm. Find its total surface area.6336 Sq. cm.6334 Sq. cm.6338 Sq. cm.6332 Sq. cm. Q 5: The ratio of the radius and height of a cylinder is 4:5. The radius is 20cm. Find its total surface area.5651.14 Sq. cm.5657.14 Sq. cm.5657.14 Sq. cm.5653.14 Sq. cm. Q 6: The ratio of the radius and height of a cylinder is 7:5. The radius is 21cm. Find its total surface area.4754 Sq. cm.4758 Sq. cm.4756 Sq. cm.4752 Sq. cm. Question 7: This question is available to subscribers only! Question 8: This question is available to subscribers only!

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