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svetlana [45]
3 years ago
15

Use the formula for the volume of a cylinder to find the volume of a water tank (in ft with a radius of 15 feet and a height of

35 feet. Round to two decimal places.
Mathematics
2 answers:
frosja888 [35]3 years ago
8 0

Answer:

24,740.04 ft³

Step-by-step explanation:

Use the cylinder volume formula, V = \pir²h, where r is the radius and h is the height.

Plug in the values and solve for V:

V = \pi(15²)(35)

V = 24740.04215

Round:

V = 24,740.04 ft³

alex41 [277]3 years ago
6 0
Answer: See below

Explanation:

Formula: V = pi x r^2 x h

Pi = 22/7
r = 15 ft
h = 35 ft

=> V = 22/7 x 35 x 15^2
=> V = 22 x 5 x 15^2
=> V = 110 x 225
=> V = 24,750 ft^2
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Answer:

<h3><u>Mean</u></h3>

<u />

\textsf{Mean}\:\overline{X}=\sf \dfrac{\textsf{sum of all the data values}}{\textsf{total number of data values}}

\implies \sf Mean\:(Nilo)=\dfrac{5+6+14+15}{4}=\dfrac{40}{4}=10

\implies \sf Mean\:(Lisa)=\dfrac{8+9+11+12}{4}=\dfrac{40}{4}=10

<h3><u>Standard Deviation</u></h3>

\displaystyle \textsf{Standard Deviation }s=\sqrt{\dfrac{\sum X^2-\dfrac{(\sum X)^2}{n}}{n-1}}

\begin{aligned}\displaystyle \textsf{Standard Deviation (Nilo)} & =\sqrt{\dfrac{(5^2+6^2+14^2+15^2)-\dfrac{(5+6+14+15)^2}{4}}{4-1}}\\\\& = \sqrt{\dfrac{482-\dfrac{40^2}{4}}{3}}\\\\& = \sqrt{\dfrac{82}{3}}\\\\& = 5.23\end{aligned}

\begin{aligned}\displaystyle \textsf{Standard Deviation (Lisa)} & =\sqrt{\dfrac{(8^2+9^2+11^2+12^2)-\dfrac{(8+9+11+12)^2}{4}}{4-1}}\\\\& = \sqrt{\dfrac{410-\dfrac{40^2}{4}}{3}}\\\\& = \sqrt{\dfrac{10}{3}}\\\\& = 1.83\end{aligned}

<h3><u>Summary</u></h3>

Nilo has a mean score of 10 and a standard deviation of 5.23.

Lisa has a mean score of 10 and a standard deviation of 1.83.

The <u>mean</u> scores are the <u>same</u>.

Nilo's standard deviation is higher than Lisa's.  Therefore, Nilo's test scores are more <u>spread out</u> that Lisa's, which means Lisa's test scores are more <u>consistent</u>.

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