Answer:
\(452\ cm^{3}\)
Step-by-step explanation:
we know that
the volume of a cylinder (coffe cup) is equal to
\(V=\pi r^{2} h\)
we have
\(r=8/2=4\ cm\) -----> the radius is half the diameter
\(h=9\ cm\)
substitute
\(V=\pi (4^{2})(9)=452.4\ cm^{3}\)
Round to the nearest whole number
\(452.4\ cm^{3}=452\ cm^{3}\)