The formula for the lateral surface area of a right circular cone is:
![\pi rl](https://tex.z-dn.net/?f=%20%5Cpi%20rl)
where r is the radius of the base, and l is the slant height.
Plugging in the values we get:
A, C, and D... a polygon simply has all rigid corners and flat edges
Answer:
The closest measurement to the volume of hat is 84.82 in.³.
Step-by-step explanation:
Given:
The dimensions of hat are height(h) 9 inches and diameter(d) 6 inches.
Now, to find the volume of cone:
Putting the formula
.
Radius(r) is not given, finding the radius:
Radius(r)=half of the diameter(d)
![r=\frac{d}{2}](https://tex.z-dn.net/?f=r%3D%5Cfrac%7Bd%7D%7B2%7D)
![r=\frac{6}{2}](https://tex.z-dn.net/?f=r%3D%5Cfrac%7B6%7D%7B2%7D)
.
Then, ![\frac{1}{3}\pi r^{2}h](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B3%7D%5Cpi%20r%5E%7B2%7Dh)
=
=
(
)
=![\frac{1}{3} \times254.34](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B3%7D%20%5Ctimes254.34)
=![\frac{254.34}{3}](https://tex.z-dn.net/?f=%5Cfrac%7B254.34%7D%7B3%7D)
=
in.³
So, the volume is 84.78 in.³ .
Therefore, the closest measurement to the volume of hat is 84.82 in.³.
Answer:
15.8183
Step-by-step explanation:
just round it you can do that ;)