56.3k views
1 vote
The radius of the base of a cone is 6 and the radius of a parallel cross section is 4. if the distance between the base and the cross section is 8 what is the height of the cone?

what is a cross section huh

User SkarE
by
8.4k points

2 Answers

4 votes

Answer:
2√10 or 6.32455

Explanation:

The height of the cone is the distance from the base of the cone to the apex (the top point of the cone). A cross section of the cone is a plane that intersects the cone and cuts through it in such a way that it creates a shape that is similar to the base of the cone. In this case, the cross section is parallel to the base of the cone and has a radius of 4.

To find the height of the cone, we can use the Pythagorean Theorem. Let h be the height of the cone. We have:

(radius of base)^2 + h^2 = (radius of cross section)^2 + (distance between base and cross section)^2

Plugging in the given values, we get:

6^2 + h^2 = 4^2 + 8^2

Solving for h, we find that the height of the cone is: h = sqrt(40) = 2*sqrt(10).

User Greg Sansom
by
7.2k points
4 votes
Porquoi looks great and you can use the rest to get a nice texture without having a ton to do in it for the rest to look good and you could use the same thing with a bit more of the texture and the same kind as a regular PARALLELS WITH RADIUS SO THE CROSS SECTION WITH CONE 6 CM WILL BE 10 ACCORDING TO DISTANCE BETWEEN BASE AND CONE BUT THE RADIUS WILL GET MINUS.
User ATHER
by
8.3k points