Drag each day to the correct location on the tree drag each estimated measurement next to the correct she not all shapes and measurements will be used.

A tree from a forest with a height of 30 feet is shown below the bottom branches are about 4 feet from the ground and are 10 feet long from left to right.the tree trunk is about 2 feet wide.
what are the appropriate shapes to model the trunk of the tree and the rest of the tree?what are the approximate surface areas of each of the two shapes?

The appropriate shape to model trunk is cylinder, rest of the tree is cone and surface area of trunk is 25.12 [tex]feet^{2}[/tex]and surface area of rest of the tree is 415.58 [tex]feet^{2}[/tex].

What is surface area?

It is the space occupied by a two dimensional surface. The area occupied by a three dimensional object by its outer surface area.

How to calculate surface area?

The upper part of the tree is similar to the cone and the trunk is of cylindrical shape. So the appropriate shape used to model the entire is cone above the cylinder.

We have been given the height of entire tree=30 feet,

Width of upper part=10 feet.

Height of trunk=4 feet

Width of tree means diameter of upper part or cone. Height of cone means height of cylinder, width of trunk means diameter of cone.

So, The radius of cone ie 5 feer,radius of cylinder is 1 feet, height of cone be 30-4=26 feet.

Surface area of cone is πrl where l is slant height of cone which is equal to [tex]\sqrt{r^{2} +h^{2} }[/tex]

l=[tex]\sqrt{5^{2} +26^{2} }[/tex]

=[tex]\sqrt{701}[/tex]

=26.47 feet.

Surface area of cone=π*5*26.47

=3.14*5.26*26.47

=415,28 [tex]feet^{2}[/tex]

Surface area of cylinder=2πrh

=2π*4*1

=2*3.14*4

=25.12 [tex]feet^{2}[/tex]

Hence cone and cylinder of surface area 415.28 [tex]feet^{2}[/tex] and 25.12 [tex]feet^{2}[/tex] can be used to model out tree.

Learn more about surface area at https://brainly.com/question/16519513

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