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AleksAgata [21]
3 years ago
5

What is the volume of a hemisphere with a diameter of 3.7 m, rounded to the nearest

Mathematics
1 answer:
lidiya [134]3 years ago
3 0

Answer:

volume of the hemisphere  ≈13.3 m³

Step-by-step explanation:

To find the volume of the hemisphere, we will follow the steps below;

volume of a hemisphere = volume of a sphere/2

                                         = \frac{4}{3}πr³  /2

                                         =\frac{2}{3}πr³

from the question given, the diameter is 3.7 m, but diameter = 2×radius

radius = diameter /2   =  3.7/2 =1.85 m

π is a constant = 3.14

volume of a hemisphere = \frac{2}{3}πr³

                                          ≈  \frac{2}{3}×3.14 ×1.85³

                                           ≈13.3 m³

Therefore, volume of the hemisphere  ≈13.3 m³

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Step-by-step explanation:

To answer this question you must use the growth formula

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Where

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We know that when t = 1 and N_0=1000 then N = 1600

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1600 = 1000e ^{k(1)}\\\\\frac{1600}{1000} = e ^ k\\\\ln(\frac{1600}{1000}) = k\\\\k = 0.47

Now that we know k we can find the size of the colony after 4 days.

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To know how long it should take for the population to reach 10,000 mosquitoes we must do N = 10000 and solve for t.

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