Find the surface area of a cylinder with a height of 7m and a base diameter of 8m... Use the value of 3.14 for pie. And do not do any rounding, be sure to include the correct unit.

Respuesta :

if the diameter of the cylinder is 8, then its radius is half that, or 4.


[tex]\bf \textit{surface area of a cylinder}\\\\ SA=2\pi r(h+r)~~ \begin{cases} r=radius\\ h=height\\[-0.5em] \hrulefill\\ r=4\\ h=7 \end{cases}\implies SA=2\pi (4)(7+4) \\\\\\ SA=8\pi (11)\implies SA=88\pi \implies \stackrel{\pi =3.14}{SA=276.32}[/tex]

The correct answer is 276.46[tex]units^2[/tex]

What is Cylinder?

  • It is defined as solid geometrical figure with straight parallel sides and a circular or oval cross section
  • The Surface area of cylinder is [tex]2\pi rh+2\pi r^{2}[/tex] .

How to Solve the problem?

The Problem can be solved by following steps

  • Height of the cylinder given is 7m
  • Diameter given is 8m So radius = 1/2 *diameter = 4m
  • The value of pi given is 3.14
  • We need to find the Surface area of cylinder

The surface area of cylinder is [tex]2\pi rh+2\pi r^{2}[/tex]

So , 2*3.14*4*7+2*3.14*16

=276.46

Therefore the surface area of cylinder is 276.46[tex]units^2[/tex]

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