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When a Spherical Ball of Metal Is Heated, the Radius

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When a spherical ball of metal is heated, the radius of the sphere increases by 0.3% per degree increase in temperature. Use differentials to estimate the percentage increase in the surface area and volume of the ball per degree increase in temperature. When a spherical ball of metal is heated, the radius of the sphere increases by 0.3% per degree increase in temperature. Use differentials to estimate the percentage increase in the surface area and volume of the ball per degree increase in temperature.

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The relative increase in the surface are...

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