Question

What is the surface area of a cylinder that is 5 centimeters high

and has a diameter of 1.5 centimeters?
7.57 cm
B 8.6257 cm
C 10.57 cm
D 19.557 cm

Answer 1

56.25

Explanation:

i just did the test

Answer 2

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 =
`\pi r^(2)`

⇒ Area of Two Circle Formula =
`2\pi r^(2)`

⇒ since r: is length of radius --> 0.75 cm (radius is half of diameter)

⇒ Area of Two circles:
`2\pi (0.75)^(2) =3.5343`

Area of Rectangular piece curved around to form Cylinder

⇒ length: circumference of a circle ⇒
`2\pi r`

⇒ width: height of the cylinder ⇒ 5cm

⇒ Area of Rectangular piece:
`2*\pi *0.75*5=` 23.5169

Total Area = 27.0512 = 8.6257
`\pi` square centimeters ⇒ Choice (B)

Hope that helps!