Respuesta :
The answer - The technician takes 44 minutes to polish the entire area of the lens.
The surface area of a solid object is a measure of the total area occupied by the object's surface. To find out the time taken to polish a substance, its surface area should be known.
What is the formula for surface area of a cylinder ?
The Surface area of a cylinder is calculated using the formula-
Surface area =[tex]2\pi r^{2} +2\pi rh[/tex]
Now, the area of a telescope lens (cylinder) =7903 [tex]mm^2[/tex].
And the technician takes 45 s to polish 135 [tex]mm^2[/tex].
Hence, the time taken to polish the complete area of 7903 [tex]mm^{2}[/tex] is-
[tex]Time\ taken =7903\ mm^2 * (\frac{45\ s}{135\ mm^2}) = 2634.33\ seconds[/tex]
This time taken can be converted into minutes by dividing it by 60. Thus,
[tex]Time\ taken\ = \frac{2634.33}{60} = 43.9\ min[/tex]
Hence, it take technician 44 minutes to polish the entire area of the lens.
To learn more about the surface area , visit:
https://brainly.com/question/16425247
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