Question

What is the surface area of a cylinder that is 5 centimeters high and has a diameter of 1.5 centimeters?

Answer 1

The surface area of cylinder is 8.625$\pi$ $cm^{2}$, 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,

                     $A=2\pi r h + 2\pi r^{2}$......................................(1)

          Where,

                   h - Height of cylinder

                   r - Radius of cylinder

        From the values of h and r,

                   $r=\frac{d}{2}$

                      = $\frac{1.5}{2}$

                   r  = 0.75 cm

       From the formula,

                      = ( 2 × $\pi$ × 0.75 × 5 ) + ( 2 × $\pi$ × $0.75^{2}$ )

                      = ( 7.5 $\pi$ ) + ( 1.125 $\pi$ )

                  A = 8.625$\pi$ $cm^{2}$

Result:

        The surface area of cylinder is 8.625$\pi$ $cm^{2}$, if the cylinder has 5 centimeters high and 1.5 cm of diameter.