Answer:
Sandy needs [tex]14.13\ ft^{2}[/tex] of carpet to build a scratching post for her cats
Step-by-step explanation:
Sandy needs to calculate the surface area of the cylinder
The surface area of the cylinder is equal to
[tex]SA=2\pi r^{2}+2\pi r(h)[/tex]
we have
[tex]r=1/2=0.5\ ft[/tex] ----> the radius is half the diameter
[tex]h=4\ ft[/tex]
assume
[tex]\pi =3.14[/tex]
substitute the values
[tex]SA=2(3.14)(0.5)^{2}+2(3.14)(0.5)(4)[/tex]
[tex]SA=14.13\ ft^{2}[/tex]
Sandy needs [tex]14.13\ ft^{2}[/tex] of carpet to build a scratching post for her cats
