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### High School Mathematics4.33 Curved Surface Area of Cone

 Curved Surface Area S = pi * r * l where l is the slant height = 1/2 (Circumference of base) * slant height = (1/2) C * l Curved Surface Area = = (1/2) C * l Example: The slant height of a cone is 10cm. the diameter of the base if 15cm. Find the curved surface area of cone. Solution: Given that, Slant height = 10cm. Diameter = 15cm. radius = d/2 = 15/2 = 7.5cm. Curved surface area = pi * r * l = 22/7 * 7.5 * 10 = 235.7142 Sq. cm. = 235.41 Sq. cm. (Converted into two decimal places) Directions: Solve the following problems. Also write at least 5 examples of your own.
 Q 1: The slant height of a cone is 14cm. the radius of the base is 15cm. Find the curved surface area.658 Sq. cm.664 Sq. cm.662 Sq. cm.660 Sq. cm. Q 2: The slant height of a cone is 15cm. the radius of the base is 24.5cm. Find the curved surface area.1155 Sq. cm.1153 Sq. cm.1159 Sq. cm.1157 Sq. cm. Q 3: The slant height of a cone is 13cm. the radius of the base is 14cm. Find the curved surface area.578 Sq. cm.574 Sq. cm.576 Sq. cm.572 Sq. cm. Q 4: The slant height of a cone is 14cm. the radius of the base is 20cm. Find the curved surface area.880 Sq. cm.878 Sq. cm.876 Sq. cm.882 Sq. cm. Q 5: The slant height of a cone is 16cm. the radius of the base is 35cm. Find the curved surface area.1764 Sq. cm.1758 Sq. cm.1760 Sq. cm.1762 Sq. cm. Q 6: The slant height of a cone is 8cm. the radius of the base is 49cm. Find the curved surface area.1232 Sq. cm.1234 Sq. cm.1328 Sq. cm.1230 Sq. cm. Question 7: This question is available to subscribers only! Question 8: This question is available to subscribers only!

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