Respuesta :

V=hpir^2
d/2=r
d=8,
8/2=d/2=4=r

v=hpir^2
v=9pi4^2
v=9pi16
v=144pi
aprox
v=452.3

answer is C

Answer:

Option C [tex]452\ cm^{3}[/tex]

Step-by-step explanation:

we know that

the volume of a cylinder (coffe cup) is equal to

[tex]V=\pi r^{2} h[/tex]

we have

[tex]r=8/2=4\ cm[/tex] -----> the radius is half the diameter

[tex]h=9\ cm[/tex]

substitute

[tex]V=\pi (4^{2})(9)=452.4\ cm^{3}[/tex]

Round to the nearest whole number

[tex]452.4\ cm^{3}=452\ cm^{3}[/tex]