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High School Mathematics
4.33 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

The slant height of a cone is 10cm. the diameter of the base if 15cm. Find the curved surface area of cone.
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 8cm. the radius of the base is 49cm. Find the curved surface area.
1232 Sq. cm.
1328 Sq. cm.
1230 Sq. cm.
1234 Sq. cm.

Question 2: This question is available to subscribers only!

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