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NISA [10]
3 years ago
6

What is the diameter of the cylinder if the height is 13, and the volume is 1256? Use 3.14 for pi.

Mathematics
1 answer:
Sergio039 [100]3 years ago
8 0
Volume of a cylinder = πr²h

1256 = (3.14) x (r)² x (13)

1256 = 40.82r²

r² = 1256 ÷ 40.82

r² = 30.769

r = √30.69

r = 5.547

Diameter = Radius x 2

Diameter = 5.547 x 2 

Diameter = 11.09 units (nearest hundredth)
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<h3>1. SAS</h3><h3>2. SSS</h3><h3>3. AAS</h3><h3>4. AAS</h3><h3>5. AAS</h3><h3>6. HL</h3><h3>7. SAS</h3><h3>8. SAS</h3><h3>9. SSS</h3>

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\mathrm{Equation\;Given:}\; 5+5x=\frac{12x-\frac{12}{5}\cdot \:7}{5}

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\mathrm{Now\;we\;have\;}:  25+25x=12x-\frac{84}{5}

\mathrm{Subtract\;by\;sides\;by\;25}:   25+25x-25=12x-\frac{84}{5}-25

\mathrm{Thus\;we\;have}:  25x=12x-\frac{209}{5}

\mathrm{Subtracting\;12x\;from\;both\;sides}:  25x-12x=12x-\frac{209}{5}-12x

\mathrm{So\;then\;we\;have:} 13x=-\frac{209}{5}

\mathrm{Now\;divide\;both\;sides\;by\;13}:  \frac{13x}{13}=\frac{-\frac{209}{5}}{13}

\mathrm{Hence\;we\;have}:\;\;x=-\frac{209}{65}

\mathrm{Decimal\;form}:-3.21538461538

<u><em>Kavinsky</em></u>

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