Question

The cone shown in the diagram has a circular base with a radius of 7 inches perpendicular to the height. The slant

height of the cone is 12 inches.
What is the height, h, of the cone, rounded to the nearest tenth?

Answer 1

9.7

Explanation:

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Answer 2

Explanation:

We can use the Pythagorean theorem to find the height of the cone, h. The slant height, s, and radius, r, of the cone form a right triangle where s is the hypotenuse. Therefore, we can write:

s^2 = r^2 + h^2

Substituting the given values, we get:

12^2 = 7^2 + h^2

Simplifying and solving for h, we get:

144 - 49 = h^2

95 = h^2

h = sqrt(95)

h ≈ 9.7

Therefore, the height of the cone is approximately 9.7 inches when rounded to the nearest tenth.