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LekaFEV [45]
3 years ago
6

Find the volume of the sphere

Mathematics
1 answer:
andrey2020 [161]3 years ago
6 0

Answer:

V = 2 144.66058485063 m³

Step-by-step explanation:

Formula : ( volume V of a sphere of radius r )

V\  =\  \frac{4}{3} \times \pi \times r^{3}

Therefore

V\  =\  \frac{4}{3} \times \pi \times 8^{3}

V\  =\  \frac{4}{3} \times \pi \times 512

⇒ V = 2 144.66058485063 m³ (use a calculator)

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<span>So using the information given, solve for k: </span>

<span>P₀ = 2000 </span>
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<span>P(t) = P₀ e^(kt) </span>
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<span>Natural log of both sides: </span>

<span>ln(1.3) = 4k </span>
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<span>Now that we have a value for "k", use that, the same P₀, then solve for P(17): </span>

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<span>Using a calculator to get ln(1.3) then to simplify from there, we get: </span>

<span>P(17) ≈ 2000 e^(17 * 0.262364 / 4) </span>
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<span>Rounded to the nearest unit: </span>

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