Learning starts with a question. Asking is a signal for knowledge request!
First time here? Checkout the FAQs!
x

How "image search" works

Twenty water tanks are decreasing in size in such a way that the volume of each tank is $\frac{1}{2}$ the volume of the previous tank.


Everything you are. In one, simple link in bio with Acalytica

Increase Sales, Trust and Credibility with Acalytica

0 like 0 dislike
1.1k views
Twenty water tanks are decreasing in size in such a way that the volume of each tank is $\frac{1}{2}$ the volume of the previous tank.

 The first tank is empty, but the other 19 tanks are full of water.Would it be possible for the first water tank to hold all the water from the other 19 tanks? Motivate your answer.
in Mathematics by Platinum (98.5k points) | 1.1k views

1 Answer

0 like 0 dislike
vol of tanks= 1,1/2,1/4,...

  r= 1/2

sum of terms 1/2,1/4,....

a=1/2

sum= 0.5/(1-0.5) = 1

hence that volume of 1 unit is what the first tank's volume is, therefore possible to hold water from all the 19 tanks.
by Gold Status (26.7k points)

Related questions

0 like 0 dislike
1 answer
What is the largest integer n such that $\frac{1}{2^{n}} > 0.01$?
asked Mar 5, 2019 in Mathematics by MathsGee Platinum (98.5k points) | 624 views
2 like 0 dislike
1 answer
The first two terms of a geometric sequence are: $(x+3)$ and $(x^2-9)$
asked Apr 8, 2021 in Mathematics by AstraNova Diamond (55.6k points) | 594 views
1 like 0 dislike
1 answer
Determine $50^{n+1}$ in terms of $x$ and $y$
asked May 6, 2021 in Mathematics by Student Bronze Status (5.7k points) | 216 views

Join MathsGee Q&A, where you get instant answers to your questions from our AI, AstraNova and verified by human experts. We use a combination of generative AI and human experts to provide you the best solutions to your problems.

On the MathsGee Q&A, you can:

1. Get instant answer to your questions

2. Convert image to latex

3. AI-generated answers and insights

4. Get expert-verified answers

5. Vote on questions and answers

6. Tip your favorite community members

7. Join expert live video sessions (Paid/Free)

8. Earn points by participating

9. Take a course

10. Enjoy our interactive learning resources


Posting on the MathsGee Q&A

1. Remember the human

2. Act like you would in real life

3. Find original source of content

4. Check for duplicates before publishing

5. Read the community guidelines


MathsGee Q&A Rules

1. Answers to questions will be posted immediately after moderation

2. Questions will be queued for posting immediately after moderation

3. Depending on the number of messages we receive, you could wait up to 24 hours for your message to appear. But be patient as posts will appear after passing our moderation.


MathsGee Q&A

Categories

MathsGee Q&A

Most popular tags