Diameter of the base of a cone is 10.5 cm and its slant height is 10 cm. Find its curved surface area.

To find the curved surface area of a cone, you can use the formula:

Curved Surface Area Formula

The formula for the curved surface area (CSA) of a cone is:

CSA = πrl

Where:

• r = radius of the base
• l = slant height

Given Values

In this case:

• Diameter of the base = 10.5 cm
• Slant height (l) = 10 cm

Calculating the Radius

First, calculate the radius (r) of the base:

r = Diameter / 2 = 10.5 cm / 2 = 5.25 cm

Substituting Values

Now, plug the values into the CSA formula:

CSA = π × 5.25 cm × 10 cm

Final Calculation

Using the approximate value of π (3.14):

CSA ≈ 3.14 × 5.25 × 10

CSA ≈ 165.87 cm²

Result

The curved surface area of the cone is approximately 165.87 cm².