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kicyunya [14]
3 years ago
12

Find the volume of a cylinder with a diameter of 8 inches and a height that is three times the radius. Use 3.14 for pi and round

your answer to the nearest hundredth.
Mathematics
1 answer:
ivann1987 [24]3 years ago
7 0
Step 1: Find the area of the base: pi(r^2)=3.14(8^2)=200.96
Step 2: Multiply area by height. Height= 3(8)=24
Volume= 24*200.96=<span>4823.04 inches

Hope this helps!</span>
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\begin{cases}a_0=3\\a_1=6\\a_n=a_{n-1}+6a_{n-2}&\text{for }n>2\end{cases}

Let the generating function for a_n be

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Summing both sides over the non-negative integers greater than or equal to 2 gives

\displaystyle\sum_{n\ge2}a_nx^{n-2}=\sum_{n\ge2}a_{n-1}x^{n-2}+6\sum_{n\ge2}a_{n-2}x^{n-2}
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For |x|, the two series converge to

\displaystyle A(x)=\frac35\sum_{n\ge0}(-2x)^n+\frac{12}5\sum_{n\ge0}(3x)^n
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a_n=\dfrac{3(-2)^n+12(3)^n}5=\dfrac{3(-2)^n+4(3)^{n+1}}5
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3 years ago
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Answer:

V= 120

Step-by-step explanation:

due  to the formula, V=1/3 * S * H = 1/3 * (9*4) * 10= 1/3*360= 360/3= 120

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