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Naddika [18.5K]
3 years ago
11

Find the volume please help (Multiple choice)

Mathematics
1 answer:
Tatiana [17]3 years ago
3 0

Answer:

  • A. 72 mi³
  • C. 261.8 mi³

Step-by-step explanation:

<u>Volume formula:</u>

  • V = 1/3Bh, B- base area, h- height

Q1

  • V = 1/3*6²*6 = 72 mi³
  • Correct choice is A

Q2

  • V = 1/3*(π*5²)*10 = 261.8 mi³ (rounded)
  • Correct choice is C
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Answer:

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Step-by-step explanation:

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Use differentials to estimate the amount of paint needed to apply a coat of paint 0.07 cm thick to a hemispherical dome with dia
Mademuasel [1]

An hemispherical dome is half a sphere. If the diameter is 60 m, then the radius is 30 m.

We can use differentials to solve this problem because we are adding a thin layer to the original dome, so the volume of the dome in increased by a differential of itself.

This differential volume that the dome is increased is equal to the volume of the coat of paint.

The volume of the dome can be written as:

\begin{gathered} V=\frac{4\pi}{3}r^3 \\ \frac{dV}{dr}=\frac{4\pi}{3}\cdot3r^2\Rightarrow dV=\frac{4\pi}{3}\cdot3r^2\cdot dr=4\pi r^2\cdot dr \end{gathered}

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\begin{gathered} dV=4\pi r^2\cdot dr \\ dV\approx4\cdot3.14\cdot(30m)^2\cdot0.07\operatorname{cm}\cdot\frac{1m}{100\operatorname{cm}} \\ dV\approx12.57\cdot900m^2\cdot0.0007m \\ dV\approx7.92m^3 \end{gathered}

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1 year ago
The fish population in a local stream is decreasing at a rate of 2.5% per year. The original population was 45,000. Write an exp
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Answer:

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Step-by-step explanation:

1) the exponential decay formula is

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