Calculate the lateral and total surface of the cone, the generatrix of which is 1.6 dm, and the radius of the base is 4 cm.

univerkov | September 29, 2021 | education

We translate the length of the generatrix into centimeters, AB = 1.6 dm = 16 cm.

Determine the area of the base of the cone.

Sb = π * R ^ 2 = π * 16 cm2.

Let us determine the area of the lateral surface of the cone.

Side = π * R * L = π * AO * AB = π * 4 * 16 = 64 * π cm2.

Then Sпов = S main + S side = π * 16 + π * 64 = π * 80 cm2.

Answer: The total surface area of the cone is π * 80 cm2.

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