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Chapter 19 - 19.15

15. Since a volume is the product of three lengths, the change in volume due to a temperature change ∆ T

is given by ∆ V =3 αV ∆ T ,where V is the original volume and α is the coecient of linear expansion.

See Eq. 19–11. Since V =(4 π/ 3) R 3 ,where R is the original radius of the sphere, then

∆ V =3 α 4 π

10 − 6 / C ◦ )(4 π )(10cm) 3 (100C ◦ )=29cm 3 .

The value for the coecient of linear expansion is found in Table 19-2.

3 R 3 ∆ T =(23