We present a study of $gamma$-ray emission from the core-collapse supernova remnant Cas~A in the energy range from 0.1GeV to 10TeV. We used 65 hours of VERITAS data to cover 200 GeV - 10 TeV, and 10.8 years of textit{Fermi}-LAT data to cover 0.1-500 GeV. The spectral analysis of textit{Fermi}-LAT data shows a significant spectral curvature around $1.3 pm 0.4_{stat}$ GeV that is consistent with the expected spectrum from pion decay. Above this energy, the joint spectrum from textit{Fermi}-LAT and VERITAS deviates significantly from a simple power-law, and is best described by a power-law with spectral index of $2.17pm 0.02_{stat}$ with a cut-off energy of $2.3 pm 0.5_{stat}$ TeV. These results, along with radio, X-ray and $gamma$-ray data, are interpreted in the context of leptonic and hadronic models. Assuming a one-zone model, we exclude a purely leptonic scenario and conclude that proton acceleration up to at least 6 TeV is required to explain the observed $gamma$-ray spectrum. From modeling of the entire multi-wavelength spectrum, a minimum magnetic field inside the remnant of $B_{mathrm{min}}approx150,mathrm{mu G}$ is deduced.
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