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2 years ago

How many liters of soup will fit in this hemispherical pot PlS help

Mathematics

1 answer:

m_a_m_a [10]2 years ago

4 0

Answer:

3888pi cm^3 or 12214.5122372 cm^3

Step-by-step explanation:

To being, let's list out what we know

The volume of a sphere is

V = 4/3(pir^3)

But this is only half of a sphere, so the volume of it should be

V =2/3(pir^3)

With the diameter of the shape being

d = 36

We will first need to find the radius to use the formula above

r = d / 2

= 36 / 2

= 18

Now, let's start plugging in values

V = 2/3(pi18^3)

= 2/3 ( 5832pi)

= 3888pi or 12214.5122372

If you have any questions, please let me know in the comments section of this answer! If you could mark this answer as the brainliest, I would greatly appreciate it! :D

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Following one side of a rural road, the house numbers increase by eighteen. The house number of the first house on the road is 8

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Answer:

Recursive:

$a_n=a_{(n-1)}+18\\ \\ a_1=82$

Explicit:

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Explanation:

1. Sequence:

$a_1=82\\ \\ a_2=82+18=100\\ \\ a_3=100+18=118\\ \\ a_4=118+18=136\\ \\ ...$

2. Recursive formula

The recursive formula permits to calculate the value of the nth term in the sequence using the (n-1)th term in the sequence.

$a_n=a_{(n-1)}+18\\ \\ a_1=82$

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The explicit formula permits to calculate any value of a term in the sequence:

$a_n=a_1+(n-1)d\\ \\ a_n=82+(n-1)18\\ \\ a_n=82+18n-18\\ \\ a_n=64+18n$

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