The quantities of heat required to raise the temperature of two solid copper spheres of radii $r_1$ and $r_2$

Question

The quantities of heat required to raise the temperature of two solid copper spheres of radii $r_1$ and $r_2$ ($r_1 = 1.5 r_2$) through 1 K are in the ratio :

Accepted Answer

$\Delta Q = ms\Delta T$. $\Delta Q = \frac{4}{3}\pi r^3 \rho s \Delta T$. $\frac{\Delta Q_1}{\Delta Q_2} = \left(\frac{r_1}{r_2}\right)^3 = (1.5)^3 = \frac{27}{8}$.

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