Question

The surface area of the solid is about ____ inches squared

Answer 1

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

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 =(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`