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2 years ago

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Type the correct answer in the box. Write your answer as a whole number. The radius of the base of a cylinder is 10 centimeters,

and its height is 20 centimeters. A cone is used to fill the cylinder with water. The radius of the cone's base is 5 centimeters, and its height is 10 centimeters. The number of times one needs to use the completely filled cone to completely fill the cylinder with water is . Reset Next

1 answer:

konstantin123 [22]2 years ago

6 0

The number of times one needs to use the completely filled cone to completely fill the cylinder with water 24 times

<h3>How to find the volume of a cylinder and cone?</h3>

volume of a cylinder = πr²h

volume of a cylinder = 3.14 × 10² × 20

volume of a cylinder = 6280 cm³

volume of the cone = 1 / 3 πr²h

volume of the cone = 1 / 3 × 3.14 × 5² × 10

volume of the cone = 261.666666667

volume of the cone = 261.7 cm³

Therefore, the number of times one needs to use the completely filled cone to completely fill the cylinder with water is as follows:

number of time = 6280 / 261.7 = 23.9969430646

number of time = 24 times

learn more on volume here: brainly.com/question/1578538

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Step-by-step explanation:

Data given and notation

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$s=1.61$ represent the standard deviation for the sample

$n=15$ sample size

$\mu_o =15/tex] represent the value that we want to test 
[tex]\alpha$ represent the significance level for the hypothesis test.

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$p_v$ represent the p value for the test (variable of interest)

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Alternative hypothesis: $\mu > 5.63$

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t-test: "Is used to compare group means. Is one of the most common tests and is used to determine if the mean is (higher, less or not equal) to an specified value".

We can replace in formula (1) the info given like this:

$t=\frac{5.63-5}{\frac{1.61}{\sqrt{15}}}=1.516$

Now we need to find the degrees of freedom for the t distribution given by:

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