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mestny [16]
3 years ago
8

Find the volume of a cylinder with a radius of 3in and a height of 5in.

Mathematics
1 answer:
AysviL [449]3 years ago
8 0
<h2>Given :</h2>

  • radius (r) = 3 In

  • height (h) = 5 in

<h2>Solution :</h2>

\large \boxed{ \mathrm{volume = \pi {r}^{2}h }}

  • \pi \times 3 \times 3 \times 5

  • 45\pi \:  \: in {}^{2}

  • 141.4 \:  \: in {}^{2}

_____________________________

\mathrm{ \#TeeNForeveR}

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A four-digit number N leaves a remainder of 10 when divided by 21, a remainder of 11 when divided by 23, and a remainder of 12 w
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Answer:

  16

Step-by-step explanation:

There may be a formal way to solve simultaneous Diophantine equations, but I don't know what it is. So, I addressed this by solving them 2 at a time.

First of all, we want to find a relation between integers p and q such that ...

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Using the extended Euclidean algorithm or trial and error or astute observation, we find that (p, q) = (11, 10) is a solution to this equation. Then we can write p and q as ...

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For this to be a 4-digit number, we must have n such that

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Modulo 25, the number (483n+241) is ...

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  4(2n+1) mod 25 = 0 . . . .  factor out 4

For this to be true, we must have 2n+1 be a multiple of 25. The only value of n that is in the required interval [2, 20] is n=12.

__

When n=12, 483n+241 = 6037. The sum of digits of 6037 is 16.

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Step-by-step explanation:

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