Respuesta :
Answer:
Option C. [tex]452.16\ cm^{2}[/tex]
Step-by-step explanation:
step 1
Find the circumference
The circumference of a circle is equal to
[tex]C=2\pi r[/tex]
we have
[tex]r=3\ cm[/tex]
[tex]\pi=3.14[/tex]
substitute
[tex]C=2(3.14)(3)=18.84\ cm[/tex]
step 2
Find the area of the rectangle made by the circumference and height of the cylinder
The area of the rectangle is equal to
[tex]A=C*h[/tex]
substitute the values
[tex]A=(18.84)(24)=452.16\ cm^{2}[/tex]