Question

determine the curved surface area of a cone whose base radius is 7 cm and slant height is 15 cm.

Explanation:

Step1: Recall the formula for curved surface area (CSA) of a cone

The formula for the curved surface area of a cone is \( CSA=\pi r l \), where \( r \) is the radius of the base and \( l \) is the slant height.

Step2: Substitute the given values

Given that \( r = 7\space cm \) and \( l=15\space cm \), and taking \( \pi=\frac{22}{7} \).
Substitute these values into the formula:
\( CSA=\frac{22}{7}\times7\times15 \)

Step3: Simplify the expression

First, the 7 in the numerator and denominator cancels out:
\( CSA = 22\times15 \)
Then, multiply 22 and 15:
\( CSA=330\space cm^{2} \)

Answer:

The curved surface area of the cone is \( 330\space cm^{2} \)