The volume of the right cylinder is approximately 12938.184 cubic centimeters.
What is the volume of the solid cylinder?
In this question we know the sum of the height and radius and the surface area of the right cylinder, whose formulae are presented below:
3080 = 2π · r² + 2π · r · h
3080 = 2π · r · (r + h) (1)
r + h = 35 (2)
By (2) in (1):
3080 = 2π · r · 35
3080 = 70π · r
r ≈ 14.006
And by (2):
h = 35 - r
h = 35 - 14.006
h = 20.994
And the volume of the right cylinder is equal to:
V = π · r² · h (3)
V = π · (14.006 cm)² · (20.994 cm)
V ≈ 12938.184 cm³
The volume of the right cylinder is approximately 12938.184 cubic centimeters.
To learn more on right cylinders: https://brainly.com/question/14313068
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