Question

The surface area of the solid is about ____ inches squared

Answer 1

Answer:

Surface area of the whole figure$= 320.28inch^2$

Step-by-step explanation:

The surface area of the figure :

Surface area of the cylinder(excluding top)+Surface area of the cone(excluding bottom)

Radius of the cylinder=3 inch     and  Height of cylinder=13 inch

Surface area of the cylinder with one circular face

                                    $=2\pi rh+\pi r^2$

As,     $\pi =\frac{22}{7}= 3.14$

   $=(2*3.14*3*13)+(3.14*3*3)\\\\=244.92+28.26\\\\=273.18inch^2$

Surface area of the cone excluding  base:

                $=\pi *r*l$

l= slant height=5 inch       r= radius= 3 inch

Surface area of the cone =$3.14*3*5$

                                        $=47.1inch^2$

Total surface area of the whole figure$=273.18+47.1$

                                                           $= 320.28inch^2$