WHOEVER ANSWERS CORRECTLY W STEP BY STEP GETS BRAINLIEST
2 answers:
Answer: 39 in.
Step-by-step explanation:
<em>Radius</em> formula: <em>r</em> = <em>d</em> ÷ 2
<u><em /></u>
<u><em>Diameter (d)</em></u> = 32 in.
<u><em>Radius (r)</em></u> = 16 in.
<u><em>Volume (V)</em></u> = 10,000π in.³
<em>Volume of a cylinder</em> formula: <em>V = Ah</em>
<em> A = π r²</em>
<em>V = π r² h</em>
<em>10,000π = π (16)² × h</em>
<em>10,000 = 256 × h</em>
<em>h = 10,000 ÷ 256</em>
<em>h = 39.1 in. = </em><u><em>39 in.</em></u>
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The series converges to 1/(1-9x) for -1/9<x<1/9
Given the series is ∑
We have to find the values of x for which the series converges.
We know,
∑ converges to (a) / (1-r) if r < 1
Otherwise the series will diverge.
Here, ∑ is a geometric series with |r| = | 9x |
And it converges for |9x| < 1
Hence, the given series gets converge for -1/9<x<1/9
And geometric series converges to a/(1-r)
Here, a = 1 and r = 9x
Therefore, a/(1-r) = 1/(1-9x)
Hence, the given series converges to 1/1-9x for -1/9<x<1/9
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