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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

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 8cm. the radius of the base is 49cm. Find the curved surface area.
1230 Sq. cm.
1232 Sq. cm.
1234 Sq. cm.
1328 Sq. cm.

Q 2: The slant height of a cone is 14cm. the radius of the base is 20cm. Find the curved surface area.
882 Sq. cm.
876 Sq. cm.
880 Sq. cm.
878 Sq. cm.

Q 3: The slant height of a cone is 9cm. the radius of the base is 28cm. Find the curved surface area.
792 Sq. cm.
790 Sq. cm.
788 Sq. cm.
794 Sq. cm.

Q 4: The slant height of a cone is 15cm. the radius of the base is 24.5cm. Find the curved surface area.
1155 Sq. cm.
1159 Sq. cm.
1153 Sq. cm.
1157 Sq. cm.

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Question 6: This question is available to subscribers only!


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