What is the volume of soup that will fit in a cylindrical-shaped can with a height that is 2 inches longer than the radius?

Mathematics

2 answers:

Drupady [299]3 years ago

6 0

Answer: $V=\pi r^3+2\pi r^2$

Step-by-step explanation:

Let r be the height of the cylinder then , the height of the cylinder will be (r+2).

The formula to find the volume of cylinder is given by :-

$V=\pi r^2h$

Then, the volume of the cylinder will be :-

$V=\pi r^2((r+2))\\\\\Rightarrow\ V=\pi r^2(r)+\pi r^2(2)\\\\\Rightarrow\ V=\pi r^3+2\pi r^2$

Hence, the volume of soup that will fit in a cylindrical-shaped can with a height that is 2 inches longer than the radius = $V=\pi r^3+2\pi r^2$

trasher [3.6K]3 years ago

4 0

Answer:

V = πr³ + 2πr²

Step-by-step explanation:

Volume of a cylinder:

V = πr²h

with radius r and height h = 2 + r:

V = πr²(2 + r) = πr³ + 2πr²

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In statistics, the standard deviation deviation may be a measure of the quantity of variation or dispersion of a group of values. The margin of error may be a statistic expressing the number of sampling error within the results of a survey. The correlation could be a statistical measure of the strength of the connection between the relative movements of two variables.

Given nothing and that we need to explain standard deviation. margin of error, correlation coefficient .

Standard deviation

In statistics, the standard deviation may be a measure of the number of variation or dispersion of a group of values. an occasional variance indicates that the values tend to be near the mean of the set, while a high variance indicates that the values are detached over a wider range.

Formula: $\sqrt{(x-x bar)^{2}/N }$

where x bar is mean and N is size of population.

Margin of error

The margin of error may be a statistic expressing the quantity of sampling error within the results of a survey. The larger the margin of error, the less confidence one should have that a poll result would reflect the results of a survey of the complete population.

Formula for M=z*s/ $\sqrt{n}$

here z is z value of Z score , s is variance , n is that the sample size.

Correlation coefficient

In statistics, the Pearson parametric statistic ― also called Pearson's r, the Pearson product-moment parametric statistic, the bivariate correlation, or colloquially simply because the coefficient of correlation ― could be a measure of linear correlation between two sets of information.

Formula=∑ $(x_{i} -x bar)(y_{i} -y bar)/\sqrt{}$ ∑ $(x_{i} -x bar)^{2}$ ∑ $(y_{i}-ybar) ^{2}$