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3 years ago

The volume of a cone is 270 in3. find a function that models the height h of the cone in terms of its radius r.

Mathematics

1 answer:

lawyer [7]3 years ago

4 0

Volume of a cone (V) = (1/3) · π · r² · h

270 = (1/3) · π · r² · h

810 = π · r² · h

(810)/(π · r²) = h

257.83/r² = h

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Answer:

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Step-by-step explanation:

Given

$Black = 25$

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Required

Determine the probability of selecting Black and Red

First, we need to calculate the number of red and black balls

The probability is calculated as thus:

$Probability = P(Black\ and \ Red) \ or\ P(Red\ and \ Black)$

Convert to mathematical expressions

$Probability = [P(Black) *P(Red)] + [P(Red) *P(Black)]$

Solve for each probaility;

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$P(Red) = \frac{Red}{Total} = \frac{40}{100}$

So, we have:

$Probability = [P(Black) *P(Red)] + [P(Red) *P(Black)]$ $Probability = [\frac{25}{100} *\frac{40}{100}] + [\frac{40}{100} *\frac{25}{100}]$

$Probability = [\frac{1000}{10000}] + [\frac{1000}{10000}]$

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$Probability = \frac{1+1}{10}$

$Probability = \frac{2}{10}$

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