Question

A cylinder has a diameter of 14 cm and a height of 20 cm.

a. Find the total surface area of the cylinder.
b. If gift wrap cost $3 per square centimeter, how much will it cost to cover the cylinder with gift wrap? Use 3.14 for π.
c. Find the volume of the cylinder.

Answer 1

The Radius of the circular bases is R=14/2 = 7 (cm)


The circumference of the base circles is 2πR=2*3.14*7= 44 (cm)

The area of the base circles is
`\pi R^(2) =3.14 * 7*7 = 154`
(cm^2).


a. The total surface area of a cylinder is:

2 * Area of circular bases + lateral surface.

the lateral surface, is rectangle of measures 2πR by height,

so lateral surface = 44 * 20 = 880 (cm squared)

total surface area = 2*154+880= 1188 (cm squared)

b.

the surface area to be covered is 1188 cm^2, which costs $3 per cm^2,

so the cost is 1188 * 3 = 3564 ($)

c.

The volume of the cylinder is Area(base)* Height = 154 * 20 = 3080 (cm^2)


Answers:

a.1188 (cm squared)

b.3564 ($)

c.3080 (cm^2)