Find Surface Area of a Cylinder if its Radius and Height is given

The surface
area of a cylinder can be defined as the total space covered by the
flat surfaces of the bases of the cylinder and its curved
surface.

The
total surface area of the cylinder has two components –

1.  
a curved surface area and

2.  
two bases area.

If
the radius of the base of the cylinder is ‘r’ and the height of the cylinder is
‘h’, then

·        
Curved Surface Area = 2πrh

·        
Area of one base = πr²

·        
Area of two bases = πr² + πr² = 2πr²

Total
Surface Area of a cylinder = 2πr² + 2πrh 

 = 2πr (r + h) —————–(equation 1)

Here,

r =
1.5 inches

h = 6
inches

π =
3.14 

Put
values in the equation 1

Surface
Area of a cylinder = 2πr² + 2πrh

=2πr
(r + h)

=
2(3.14)(1.5)(1.5 + 6)

=
2(3.14)(1.5) (7.5)

=70.65
inches²

Thus, if a salt container has radius 1.5 inches and height 6 inches then its surface area is 70.65 inches²