The radius of the base of a right circular cone is 9 cm and its slant height is 49 cm. Find the curved surface area of the cone.
Show answer & explanation
Correct answer: A
Explanation
The correct answer is option 1 i.e. 1386 cm2.
The curved surface area (CSA) of a cone is given by:
CSA = πrl
where:
π (pi) is a mathematical constant approximately equal to 3.14159
r is the radius of the base of the cone
l is the slant height of the cone
Given:
Radius (r) = 9 cm
Slant height (l) = 49 cm
Substitute the given values into the formula:
CSA = π × 9 cm × 49 cm
Calculate the product:
CSA = 3.14159 × 9 cm × 49 cm = 1385.44 cm
Therefore, the curved surface area of the cone is approximately 1385.44 square centimeters.