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Nookie1986 [14]
2 years ago
5

The volume of a cone is 3 cubic units and its height is x units. Which expression represents the radius of the cone base, in uni

ts?
Mathematics
2 answers:
Deffense [45]2 years ago
7 0

Answer: The volume given is 3Pi(x^3) and the radius is x. The formula for the volume of a cone is V= [1/3]Pi(r^2)*height => [1/3]Pi (r^2) x = 3Pi(x^3) => (r^2)x = 3*3(x^3) => (r^2)x = 9(x^3) => (r^2) = 9x^2 => r = sqrt[9x^2] = 3x.

So THE CORRECT Answer is: A) r = 3x

Step-by-step explanation: I just paid for this answer

yKpoI14uk [10]2 years ago
6 0
Cone Volume = (PI * radius^2 * height) / 3
3 = (PI * radius^2* x) / 3
radius^2 = 9 / (PI * x)
radius = square root (9 / (PI * x))



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Answer:

<u>The correct answer is B. x ≈ 4.5, y = 5, z = 9</u>

Step-by-step explanation:

1. We will use the Pythagorean theorem for solving for x, this way:

x² = 6² - 4²

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2. For solving for y, we will do it this way:

There are only two possible options: y = 5, included in answer B or y = 9 as it is defined on answer C.

If we review it carefully, we will realize that y = 9 is not accurate because as we can see in the graph y + 4 = z and in this specific case, 9 + 4 ≠ 5 but it's true that 5 + 4 = 9.

<u>Because of this reason, the correct answer is B. x ≈ 4.5, y = 5, z = 9</u>

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Step-by-step explanation:

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Step-by-step explanation:

Given

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