Answer
$994cm^3$
Work Step by Step
The required volume of water can be determine as follows:
$V=\frac{1}{c_w\rho}(\frac{Pt}{\Delta T}-c_im_k)$
We plug in the known values to obtain:
$V=\frac{1}{41900(1000)}(\frac{2000\times 3\times 60}{100-20}-449\times 0.75)$
This simplifies to:
$V=9.94\times 10^{-4}m^3$
$\implies V=994cm^3$