How to find the generator m in the cone, if R = 0.6 dm, S side = 60П cm ^ 2.
| August 22, 2021 | education
A cone is a body created by rotating a triangle around a leg.
The area of the lateral surface of the cone is equal to the product of the base radius by the generator and by the number π:
S = πrL.
In order to find the length of the generator, you need to divide the lateral surface area by the product of the radius and the number π:
L = S / πr.
For the convenience of calculation, we will reduce all data to one unit of measurement. Since the radius is given in decimeters, and the lateral surface area in centimeters, we will convert the value of the radius to centimeters. Since one decimeter is equal to ten centimeters, then:
r = 0.6 dm = 6 cm.
L = 60π / 6π = 10 cm.
Answer: the generatrix of the cone is 10 cm.
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