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3 years ago

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A cone has a radius of 6 inches and a height of 20 inches. What is the exact volume of the cone? A) 720π in3 B) 80π in3 C) 240π

in3 D) 120π in3

2 answers:

jasenka [17]3 years ago

8 0

The formula for finding volume of a cone is: (π · r² · h) ÷ 3

r = 6
6² = 6 × 6 = 36

h = 20

20 × 36 × π = 240π

Your answer is C. 240π

SIZIF [17.4K]3 years ago

3 0

The answer is c. 240π
V=πr² h/3 =π×6²× 20/3 ≈753.98224

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Let, the age of Daniel be x years and Kevin be y years.

Given, Kevin is 3 years older than Daniel.

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Also given, 2 years ago Kevin was 4 times as old as Daniel.

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So we can write the equation as (y-2) = 4(x-2)

We have got the two equations

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We will have to take x in one side. so let's move 4x to the left side by subtracting it to both sides.

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Now we have to move 1 to the right side by subtracting 1 from both sides.

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Answer:

<em>The probability that the mean of my sample will be between 24 and 25 cm</em>

<em>P(24 ≤X⁻≤25) = 0.4772</em>

Step-by-step explanation:

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

<em>Given mean of the Population 'μ'= 25c.m</em>

<em>Given standard deviation of the Population 'σ' = 8c.m</em>

<em>Given sample size 'n' = 256</em>

<em>Let X₁ = 24</em>

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<em>Let X₂ = 25</em>

<em></em> $Z_{2} = \frac{x_{2}-mean }{\frac{S.D}{\sqrt{n} } } = \frac{25-25}{\frac{8}{\sqrt{256} } } = 0$ <em></em>

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

<em>The probability that the mean of my sample will be between 24 and 25 cm</em>

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= P( Z≤0) - P(Z≤-2)

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= A(0) + A(2) ( ∵A(-2) =A(2)

= 0.000+ 0.4772

= 0.4772

<u><em>Final answer</em></u>:-

<em>The probability that the mean of my sample will be between 24 and 25 cm</em>

<em>P(24 ≤X⁻≤25) = 0.4772</em>

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