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Tju [1.3M]
4 years ago
5

What is the exact volume of the sphere?

Mathematics
2 answers:
sasho [114]4 years ago
6 0
We know, Volume of a Sphere = 4/3 πr³
V = 4/3 * π * (12.3)³
V = 4/3 * π * 1860.71
V = <span>2481.156π cm³

In short, Your Answer would be Option A

Hope this helps!</span>
aniked [119]4 years ago
4 0

Answer:

volume of Given sphere with radius 12.3 cm is 7790.83 cm³

Step-by-step explanation:

Given  : as sphere with radius 12.3 cm

We have to find the exact volume of the sphere.

Consider the given sphere with radius 12.3 cm

Volume of sphere = \frac{4}{3} \pi r^3

We have r = 12. cm

So substitute, we get,

Volume of sphere = \frac{4}{3}\cdot  \pi \cdot (12.3)^3

Simplify, we get

Volume of sphere = \frac{4}{3}\cdot \pi \cdot 1860.867

Using \pi=3.14 , we have,

Volume of sphere = \frac{4}{3}\cdot 3.14 \cdot 1860.867

Volume of sphere = \frac{4}{3}\cdot 5843.12238

Volume of sphere = 7790.829 cm³

Thus, volume of Given sphere with radius 12.3 cm is 7790.83 cm³

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The population of a certain country is expected to double every 32 years. The population of this country was 4.2 million people
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Answer:

2.2%

Step-by-step explanation:

Given the following :

Population in year 2000 (A) = 4.2 million

Expected population every 32 years = 2 *A

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Using the exponential growth formula :

P(t) = A × (1 + r)^t

(1 + r) = g = Total growth percent

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8,400,000 = 4,200,000 × g^32

g^32 = (8400000/4200000)

g^32 = 2

Taking the root of 32 on both sides

g = 1.02189714865

g = (1 + r)

1.02189714865 = 1 + r

r = 1.02189714865 - 1

r = 0.02189714865

.rate = 0.02189714865 * 100

= 2.18971486541%

= 2.2% ( nearest tenth)

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