SOLUTION: How to find d in simplest radical form in a right circular cone shape that has a radius of 3 and height of 3 and letter d outside the cone. Thanks in advance. a. sq root 6 b.

Question 473275: How to find d in simplest radical form in a right circular cone shape that has a radius of 3 and height of 3 and letter d outside the cone. Thanks in advance.
a. sq root 6
b. 3 sq root of 2
c. 18
d. 6
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
If you take a cross section of the cone, and you cut that cross section in half, you'll get the picture

Note: Imagine spinning this triangle about the left side (as if it were a pole lodged in the ground). Doing so will generate the cone.

To find the unknown length x, we need to use the Pythagorean Theorem.

Remember, the Pythagorean Theorem is where "a" and "b" are the legs of a triangle and "c" is the hypotenuse.

Since the legs are and this means that and

Also, since the hypotenuse is , this means that .

Start with the Pythagorean theorem.

Plug in , ,

Square to get .

Square to get .

Combine like terms.

Rearrange the equation.

Take the square root of both sides. Note: only the positive square root is considered (since a negative length doesn't make sense).

Simplify the square root.

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Answer:

So the solution is , which means that the answer is choice B)

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