find the surface area of the cone in terms of pi

To find the surface area of a cone, we use the formula:

Surface Area = πr^2 + πrl

Where:
r = radius of the base of the cone
l = slant height of the cone

Given:
r = 11 cm (since the diameter is 22 cm)
l = 14 cm

Substitute the values into the formula:

Surface Area = π(11)^2 + π(11)(14)
Surface Area = π(121) + π(154)
Surface Area = 121π + 154π
Surface Area = 275π

Therefore, the surface area of the cone is 275π square centimeters.