Question

se the image to answer the question.



What is the height of the right circular cone?

(1 point)
in.
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Answer 1

the height is 14 in. the slant height is 15 in. and the diameter is 12 in

Answer 2

To answer the question, it is necessary to see the image and the options provided. Without that information, it is not possible to determine the height of the right circular cone.

Answer 3

To determine the height of the right circular cone, we can use the Pythagorean theorem.

The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the other two sides.

In this case, the hypotenuse is the slant height (15 in) and the other two sides are the height (unknown) and the radius (half the diameter, which is 6 in).

Using the Pythagorean theorem:

(Height)^2 + (Radius)^2 = (Slant height)^2
(Height)^2 + (6 in)^2 = (15 in)^2
(Height)^2 + 36 in^2 = 225 in^2
(Height)^2 = 225 in^2 - 36 in^2
(Height)^2 = 189 in^2
Height = √189 in
Height ≈ 13.74 in (rounded to two decimal places)

Therefore, the height of the right circular cone is approximately 13.74 inches.