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Sindrei [870]
2 years ago
7

Purchased a vase and flowers at her local flower shop. At home, she wants to fill the cylindrical vase and at the

Mathematics
1 answer:
Paraphin [41]2 years ago
3 0

Step-by-step explanation:

We know that

Radius = Diameter/2

=> Radius = 2/2

=> Radius = 1 in

Now,

Volume of cylinder = πr²h

=> π × (1)² × 9

=> 9π in³

Since it is filled ⅔ of the volume

So,

Water to be putted = ⅔ × 9π = 6π in³

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What is the difference in finding the exact vs approximate volume?
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Read 2 more answers
PROBLEM #1
lesantik [10]

Answer:

  • 500 - 25w ≥ 200

Explanation:

Translate every verbal statement into an algebraic statement,

<u>1. Keith has $500 in a savings account at the beginning of the summer.</u>

  • Initial amount: 500

<u>2.  He wants to have at least $200 in the account by the end of summer. </u>

<u />

  • Final amount ≥ 200

<u>3. He withdraws $25 a week for his cell phone bill.</u>

<u />

  • Call w the number of weeks
  • Withdrawls = 25w

<u>4. Write an inequality that represents Keith's situation.</u>

  • Create your model: Final amount = Initial amount - withdrawals ≥ 500

  • 500 - 25w ≥ 200

With that inequality you can calculate how many week will pass before his account has less than the amount he wants to have in the account by the end of summer:

  • 500 - 200 ≥ 25w
  • 300 ≥ 25w
  • 300/25 ≥ w
  • 12 ≥ w
  • w ≤ 12

That represents that he can afford spending $ 25 a week during 12 weeks to have at least $ 200 in the account.

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