The required increase in temperature is:
Explanation:
When the temperature increases, the area of an object increases according to the equation
where
is the initial area
is the coefficient of linear expansion
is the change in area
is the change in temperature
For the steel ball in this problem, we have:
, so the radius is
Therefore, the surface area is
The coefficient of linear expansion for steel is
And the change in area of the ball is
Therefore, the required increase in temperature is:
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