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Nuetrik [128]
2 years ago
7

Find the Volume of the figure. Write the answer in terms of pi. ​

Mathematics
2 answers:
podryga [215]2 years ago
5 0

Answer:

Step-by-step explanation:

\text{The volume of a cone is}\\ \\ V=\frac{h\pi r^2}{3},\ h=7mi,\ r=2mi\\ \\ V=\frac{7\pi 2^2}{3}\\ \\ V=\frac{28\pi }{3}mi^3

victus00 [196]2 years ago
4 0

Answer:

answer 29.32

Step-by-step explanation:

3.14x2^2 is 12.56 then 12.56x7/3=29.32 because the formula for cone is V=πr2h 3

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what is the common ratio for the geometric sequence below, written as a fraction? 768, 480, 300, 187.5, …
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Let

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Step 1

Find \frac{a2}{a1}

\frac{a2}{a1} =\frac{480}{768}

Divide by 96 numerator and denominator

\frac{480}{768} =\frac{\frac{480}{96}}{\frac{768}{96}} \\   \\ \frac{480}{768}=\frac{5}{8}

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Step 2

Find \frac{a3}{a2}

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Divide by 60 numerator and denominator

\frac{300}{480} =\frac{\frac{300}{60}}{\frac{480}{60}} \\   \\  \frac{300}{480}=\frac{5}{8}

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Step 3

Find \frac{a4}{a3}

a4=187.5 \\ a4=187\frac{1}{2} \\ \\ a4=\frac{375}{2}

\frac{a4}{a3} =\frac{\frac{375}{2}}{300}  \\ \\  \frac{a4}{a3} =\frac{375}{600}

Divide by 75 numerator and denominator

\frac{375}{600} =\frac{\frac{375}{75}}{\frac{600}{75}} \\   \\ \frac{375}{600}=\frac{5}{8}

a4=a3*\frac{5}{8}

In this problem

The geometric sequence formula is equal to

a(n+1)=a(n)*\frac{5}{8}\\

For n\geq 1

therefore

the answer is

the common ratio for the geometric sequence above is \frac{5}{8}



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