To find the surface area:
⇒ let's define what makes up the surface area of a cylinder
⇒ it is made up of two circles as its bases and its side is a long
rectangular piece curved around
Area of Two Circles
⇒ Area of Circle Formula = [tex]\pi r^{2}[/tex]
⇒ Area of Two Circle Formula = [tex]2\pi r^{2}[/tex]
⇒ since r: is length of radius --> 0.75 cm (radius is half of diameter)
⇒ Area of Two circles: [tex]2\pi (0.75)^{2} =3.5343[/tex]
Area of Rectangular piece curved around to form Cylinder
⇒ length: circumference of a circle ⇒ [tex]2\pi r[/tex]
⇒ width: height of the cylinder ⇒ 5cm
⇒ Area of Rectangular piece: [tex]2*\pi *0.75*5=[/tex] 23.5169
Total Area = 27.0512 = 8.6257[tex]\pi[/tex] square centimeters ⇒ Choice (B)
Hope that helps!
