The surface area of cylinder is 8.625[tex]\pi[/tex] [tex]cm^{2}[/tex], if the cylinder has 5 centimeters high and 1.5 cm of diameter.
Step-by-step explanation:
The given is,
Cylinder has a 5 centimeters height
Diameter of the cylinder is 1.5 centimeters
Step:1
Formula for the surface area of cylinder is,
[tex]A=2\pi r h + 2\pi r^{2}[/tex]......................................(1)
Where,
h - Height of cylinder
r - Radius of cylinder
From the values of h and r,
[tex]r=\frac{d}{2}[/tex]
= [tex]\frac{1.5}{2}[/tex]
r = 0.75 cm
From the formula,
= ( 2 × [tex]\pi[/tex] × 0.75 × 5 ) + ( 2 × [tex]\pi[/tex] × [tex]0.75^{2}[/tex] )
= ( 7.5 [tex]\pi[/tex] ) + ( 1.125 [tex]\pi[/tex] )
A = 8.625[tex]\pi[/tex] [tex]cm^{2}[/tex]
Result:
The surface area of cylinder is 8.625[tex]\pi[/tex] [tex]cm^{2}[/tex], if the cylinder has 5 centimeters high and 1.5 cm of diameter.
