Using image to answer the question what is the height of the right circular cone 11 cm across the bottom 12 CM to the top 9 cm along the side 5.5 CM 9 CM 11 cm 12 CM

1 answer

Unfortunately, as an AI text-based model, I am unable to process or view images. However, I can assist you with solving the problem mathematically.

To find 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 hypotenuse (the longest side) is equal to the sum of the squares of the other two sides.

In this case, the hypotenuse is the slant height of the cone, which is 9 cm, and one of the legs is the radius of the base, which is 11/2 = 5.5 cm.

Using the Pythagorean theorem:

(Height)^2 = (Slant Height)^2 - (Radius)^2
(Height)^2 = 9^2 - 5.5^2
(Height)^2 = 81 - 30.25
(Height)^2 = 50.75

Taking the square root of both sides:

Height ≈ √50.75
Height ≈ 7.12 cm

Therefore, the height of the right circular cone is approximately 7.12 cm.