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Stells [14]
3 years ago
6

The moon has a radius of 1736 1736 kilometers. The earth has a radius of 6371 6371 kilometers. How many times as large is the vo

lume of the Earth as the volume of the moon, rounded to the nearest whole number? ​
Mathematics
1 answer:
Vlad1618 [11]3 years ago
3 0

Answer:

The volume of the Earth is 49 times as large as that of the moon

Step-by-step explanation:

Firstly, we consider that both entities are spherical in shape.

Mathematically, the volume of a sphere = 4/3 * pi * r^3

The volume of the moon with radius 1736 kilometers will be ;

4/3 * pi * 1736^3 = (20,927,105,024 π)/3 km^3

The volume of the earth with radius 6371 kilometers will be;

4/3 * pi * 6371^3 =( 1,034,386,411,244 π)/3 km^3

Now to get the number of times the earth is as big as the moon, we simply divide the volume of the earth by that of the moon.

= ( 1,034,386,411,244 π)/3 divided by (20,927,105,024 π)/3

= 1,034,386,411,244/20,927,105,024 = 49.43 which is approximately 49 times

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I(t) = 100 \cdot e^{0.1 \cdot t}

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\displaystyle Capital = \int\limits {100 \cdot e^{0.1 \cdot t}} \, dt =1000 \cdot  e^{0.1 \cdot t}} + C

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The end of the second year can be taken as the beginning of the third year.

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(b) When the capital stock exceeds $100,000, we have;

\displaystyle  \mathbf{\left[1000 \cdot  e^{0.1 \cdot t}} + C \right]^t_0} = 100,000

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\displaystyle 1000 \cdot  e^{0.1 \cdot t}} - 1000 = 100,000

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Learn more investment function here:

brainly.com/question/25300925

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============================================

Explanation:

Lateral area only applies to prisms and cylinders. Spheres do not have lateral sides, so there is no lateral area.

-----------------------

The radius is 1 & 7/16

Let's convert this to decimal form

1 & 7/16 = 1 + (7/16)

1 & 7/16 = 1 + 0.4375

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The radius is r = 1.4375 inches.

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-----------------------

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