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Yuliya22 [10]
3 years ago
9

The volume of a cone with a height of 10 meters is 20 pi cubic meters. what is the diameter of the cone?

Mathematics
2 answers:
lesya [120]3 years ago
8 0

Answer:

2√6 m

Step-by-step explanation:

The formula for the vol. of a cone is V = (1/3)(area of base)(height).

Here, V = 20π m³ = (1/3)(area of the base)(10 m)

We need to solve for (area of the base).

Multiplying both sides of this equation by (3/10) results in:

(3/10)(20 π m³) = (area of the base)

This simplifies to 6π m² = (area of the base)

We still must find the diameter of the base.  Let's find the radius of the base first:      The formula for the area of a circle is A = πr².  Here we have 6π m² = πr², which tells us that r² = 6 m².  Since d = 2r, and r = d/2, r² = d²/4.     Then the equation 6 m² = r²  becomes:

6 m² = d²/4.

Solve this for d.   Multiplying both sides by 4, we get:

24 m² = d²2, and d = √(24 m²) = 2√6 m  

The cone diameter is 2√6 m.

Leona [35]3 years ago
8 0

Answer:

2√6 m

Step-by-step explanation:its right just did test

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Answer:

The 95% confidence interval of the true mean.

(29.4261 ,36.9739)

Step-by-step explanation:

<u>Step :- (i)</u>

Given sample size 'n' =15

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<u></u>(x^{-} - t_{\alpha } \frac{S}{\sqrt{n} } ,x^{-} + t_{\alpha }\frac{S}{\sqrt{n} } )<u></u>

<u>Step:-(ii)</u>

<u>The degrees of freedom γ=n-1 = 15-1=14</u>

The tabulated value t = 1.761 at 0.05 level of significance.

now substitute all possible values, we get

(33.2 - 1.761\frac{8.3}{\sqrt{15} } ,33.2+ 1.761\frac{8}{\sqrt{15} } )

After calculation , we get

(33.2-3.7739 , 33.2+3.7739

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the 95% confidence interval of the true mean.

(29.4261 ,36.9739)

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Answer:

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===========================================================

Explanation:

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Use the pythagorean theorem to find the hypotenuse.

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