Answer :
Answer:
The total area of the two shapes is not equal, Chase is wrong
Step-by-step explanation:
we know that
The surface area of a cylinder is given by the formula
[tex]SA=2\pi r^{2} +2\pi rh[/tex]
where
r is the radius of the coin
h is the thickness of the coin
we have
Penny
The coin is 19.05 mm in diameter and 1.52 mm in thickness.
so
[tex]r=19.05/2=9.525\ mm[/tex]
[tex]h=1.52(12)=18.24\ mm[/tex]
substitute in the formula
[tex]SA=2\pi (9.525)^{2} +2\pi (9.525)(18.24)[/tex]
[tex]SA=181.451\pi +347.472\pi[/tex]
[tex]SA=528.92\pi\ mm^2[/tex]
Quarter
The diameter is 24.26 mm and 1.75 mm in thickness.
so
[tex]r=24.26/2=12.13\ mm[/tex]
[tex]h=1.75(12)=21\ mm[/tex]
substitute in the formula
[tex]SA=2\pi (12.13)^{2} +2\pi (12.13)(21)[/tex]
[tex]SA=294.27\pi +509.46\pi[/tex]
[tex]SA=803.73\pi\ mm^2[/tex]
therefore
The total area of the two shapes is not equal, Chase is wrong, because the coins have different diameter and thickness