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professor190 [17]
3 years ago
7

A swimming pool has to be drained for maintenance. The pool is shaped like a cylinder with a diameter of 10m and a depth of 1.4m

. Suppose water is pumped out of the pool at a rate of 18 m3 per hour. If the pool starts completely full, how many hours will it take to empty the pool?
Mathematics
1 answer:
Volgvan3 years ago
7 0

Answer:

6.1 hrs

Step-by-step explanation:

Volume of the cylinder = pi * (10/2)^2 * 1.4 m^3 = 109.956 m^3

So, time required = 109.953/18 hrs = 6.108 hrs ≈ 6.1 hrs

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Hope That Helped :)    

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4 years ago
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konstantin123 [22]
Hello! I can help you with this!

a. The function that would best represent Samantha's account is f(5) = 500(1 + 0.04)^5. This is because $500 is the principal, the interest rate is 4%, and we're looking for the amount in the savings account 5 years later.

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Note: The formula goes like this: f(x) = P(1 + r)^x. This means, you add 1 and the simple interest rate in decimal form together and raise that up by the exponent. There is no shortcuts for this, so you'll have to use the calculator. There will be a very long decimal, but don't clear it. Instead, multiply it by the principal to get the answer. It seems very complicating, but if you do this right, it gets easier overtime and you'll make less errors. There are more complex problems out there, so this formula is very important, but it was kept simple for this question.
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