Answer:
282.857 in²
Step-by-step explanation:
The formula of a surface area of a cylinder:
[tex]S.A.=2\pi r^2+2\pi rH[/tex]
r - radius
H - height
We have:
r = 5 in
H = 4 in
Substitute:
[tex]S.A.=2\pi(5^2)+2\pi(5)(4)=2\pi(25)+2\pi(20)\\\\=50\pi+40\pi=90\pi\ in^2[/tex]
[tex]\pi\approx\dfrac{22}{7}[/tex]
Substitute:
[tex]S.A.\approx90\cdot\dfrac{22}{7}=\dfrac{1980}{7}\approx282.857\ in^2[/tex]
