Calculate the lateral surface area of a cone with a base radius of 6 cm and a height of 8 cm.
| May 27, 2021 | education
Find the length of the generator. Generator, radius and height make up a right-angled triangle.
l = √ (r ^ 2 + h ^ 2) = √6 ^ 2 + 8 ^ 2 = √100 = 10 cm.
The lateral surface of the cone is equal to S:
Sb = prl, where r is the radius of the circle at the base, l is the generator.
Sb = 3.14 * 6 * 10 = 188.4 cm ^ 2.
Answer: Sb = 188.4 cm ^ 2.
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