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 cm2B) 480.42 cm2C) 452.16 cm2D) 84.78 cm2
Accepted Solution
A:
Answer:Option C. [tex]452.16\ cm^{2}[/tex]Step-by-step explanation:step 1Find the circumferenceThe 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 2Find the area of the rectangle made by the circumference and height of the cylinderThe 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]