Question

Find the total total surface area of the composite figure below with

r=2.2

l=10.2

h=8.7

Use 3.14 for LaTeX: \piπ.

Round to the nearest hundredth.

Pro tip: don't count the surfaces that are not exposed.

Answer 1

Given:

The radius of given fig = 2.2 unit

The height of the cylindrical part = 8.7 unit

The slant height of the cone = 10.2 unit

To find the total surface area of the given figure.

Formula

The given figure consists of a cylinder and a cone.

So, the surface area of the fig

$SA = \pi r l+2\pi r h+\pi r^{2}$

Where, r be the radius

h be the height

l be the slant height

Now,

Putting,

r=2.2, h = 8.7, l=10.2 and π=3.14 we get,

$SA = (3.14)(2.2)(10.2)+2(3.14)(2.2)(8.7)+(3.14)(2.2^{2} )$ sq unit

or, $SA = 70.4616+120.1992+15.1976$ sq unit

or, $SA = 205.8584$ sq unit

or, $SA = 205.86$ sq unit

Hence,

The total surface area of the given figure is 205.86 sq unit.