The cylinder has a height of 10cm, and a radius of 3cm. What is it's surface area?

Surface area is the area on top+area on bottom+area around

the areas on top are circles so 2pir^2 is the total area of tops and bottoms

the area arounnd is a rectangle that has been curled, its legnth is the height of the cylinder and the width is the circumfernce of the circle on top so area of that is h2pir

add them

2pir^2+h2pir

subsitute since h=10 and r=3

2pi (3) ^2+10 (2) pi (3)

2pi9+20pi3

18pi+60pi

78pi cm^2 is surface aea

if aprox pi=3.14 then

SA=244.92 cm^2

SA=78pi cm^2 or 244.92 cm^2

The equation for the surface area of a cylinder is A = 2 π r h+2 π r^2

A=2 (3.14) (3) (10) + 2 (3.14) (3) ^2

A=188.4+36.52

A=244.92