The height of the cone is 30, and the length of the generatrix is 34. Find the bases of the cone.
| August 4, 2021 | education
Triangle AOB is rectangular, in which leg AO is the radius of a circle at the base of the cone.
By the Pythagorean theorem, AO ^ 2 = AB ^ 2 – OB ^ 2 = 34 ^ 2 – 30 ^ 2 = 1156 – 900 = 256.
ОА = R = 16 cm.
Then D = 2 * R = 2 * 16 = 32 cm.
Determine the area of the base of the cone.
Sb = π * R ^ 2 = π * 256 cm2.
Answer: The area of the base of the cone is π * 256 cm2, the diameter is 32 cm.
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