A cylinder has a radius of 3 cm and a height of 24 cm. What is the area of the rectangle made by the circumference and height of this cylinder?

A) 508.68 cm2

B) 480.42 cm2

C) 452.16 cm2

D) 84.78 cm2

Respuesta :

Answer:

Option C. [tex]452.16\ cm^{2}[/tex]

Step-by-step explanation:

step 1

Find the circumference

The circumference of a circle is equal to

[tex]C=2\pi r[/tex]

we have

[tex]r=3\ cm[/tex]

[tex]\pi=3.14[/tex]

substitute

[tex]C=2(3.14)(3)=18.84\ cm[/tex]

step 2

Find the area of the rectangle made by the circumference and height of the cylinder

The area of the rectangle is equal to

[tex]A=C*h[/tex]

substitute the values

[tex]A=(18.84)(24)=452.16\ cm^{2}[/tex]

Answer:

C

Step-by-step explanation: