Find the diameter of a cone that has a volume of 83.74 cubic inches and a height of 5 inches. Use 3.14 for pi.

1 answer:

7 0

Start with V=(1/3)x(3.14)x(r-squared)x(h) This is the formula for the volume of a cone

Then plug in the values that you are given in the equation 83.74=(1/3)x(3.14)x(r-squared)x(5 inches)

Now combine "like terms" 83.74=(5.233333)x(r-squared)

Next you want to get "r" by itself, so by using order of operations we divide by 5.233333 on both sides and then you are left with 16=r-squared

Now to get rid of the "squared" you find the square root of both sides and you're left with 4=r

Now that you have the radius and the question is "what is the diameter" simply double the radius and so you are left with 8

The answer is 8 inches

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Answer:

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Step-by-step explanation:

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A soccer ball has an interior diameter of 22 cm. How many cubic centimeters of air does a soccer ball

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Answer:

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Step-by-step explanation:

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Radius of soccer ball = 22 Cm / 2 = 11 Cm

Find:

Volume of soccer ball = ?

Computation:

$Volume\ of\ soccer\ ball = \frac{4}{3} \pi r^3\\\\ Volume\ of\ soccer\ ball = \frac{4}{3} \times\frac{22}{7} \times 11^3\\\\ Volume\ of\ soccer\ ball = 5,572.45332$

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Therefore, Soccer ball contain 5,572.5 Cm³ of air.

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A worn, poorly set-up machine is observed to produce components whose length X follows a normal distribution with mean 14 centim

Akimi4 [234]

Answer:

74.86% probability that a component is at least 12 centimeters long.

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

$\mu = 14$