The circular base of the cone has a radius of 5 cm. The height of the cone is 12 cm and the slant height is 13 cm. What is the approximate surface area of the cone? Use pi and round to the nearest whole number.

283 cm²

Step-by-step explanation:

To find the surface area of the cone, we don't need the height since we already have the slant height.

The surface area of a cone is given as:

A = (π * r²) + (π * r * L)

Where r = radius of base of cone

L = slant height of cone

From the question, r = 5 cm and L = 13 cm

Hence:

A = (π * 5²) + (π * 5 * 13)

A = 78.55 + 204.23

A = 282.78 cm² = 283 cm² (approximating to the nearest whole number)

The approximate surface area of the cone is 283 cm²