That's very sweet!!! Thank you for being so positive!
It's easy to show that
is strictly increasing on
. This means

and

Then the integral is bounded by


Answer: 523.60
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Work Shown:
V = (4/3)*pi*r^3
V = (4/3)*pi*5^3
V = 523.598775598299 <<-- use a calculator for this step
V = 523.60 <<-- rounding to two decimal places
Answer:
22.71
Step-by-step explanation:
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