Find the area of the lateral surface of the cone if the generatrix of the cone is 7cm and the base diameter is 6cm.

Find the radius of the base of the cone:

since the diameter contains two radii, then in order to find the radius it is necessary to divide the diameter in half, we have

6: 2 = 3 centimeters.

Find the area of the lateral surface of the cone

for this we use the formula S = π * r * l, we get

S = π * r * l = π * 3 * 7 = 21π (cm2).

Answer: S = 21π cm2.