The area of the axial section of the cone is 36 cm2, the height of the cone is 12 cm. Find the radius of the cone.
| February 22, 2021 | education
If an axial section is drawn in the cone, that is, this section passing through the axis of the cone, then it is a triangle. If we know the area of a given figure and the height of the cone, we can, using the formula for the area of a triangle, find the side at the base of the triangle to which the height is dropped: S = 1/2 * a * h, a = S / h * 2.
a = 36: 12 * 2 = 6 (cm).
Because section is a triangle and we found its side, it is also the diameter of the base, then the radius:
6: 2 = 3 (cm).
Answer: the radius is 3 cm.
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