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I need the answer please

I need the answer please-example-1

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Answer:

h = √72 in

Explanation:

When looking at the triangle formed inside the cone we know we already have a value to replace c for in the Pythagorean Theorem

a² + b² = c²

a² + b² = 9²

Now in order to find a value for b, we just have to get the value for the base of the cone, 6 in, and divide it by two, since the base of the cone is twice of the size of the base of the triangle:

a² + 3² = 9²

Now, we just solve for a:

a² + 3² = 9²

a² + 9 = 81

a² = 72

a = √72

So the height of the cone is √72 in.

You can also substitute √72 for a in the equation to check your work:

a² + 3² = 9²

(√72)² + 3² = 9²

72 + 9 = 81

81 = 81 True!!

hope this helps! :)

User Attila Naghi
by
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