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A cylinder with radius of 5ft has a volume of 314ft. Find its height

2 Answers

2 votes

3.9979(depends on what place you need to round to

The equation is V=πr2h. First plug in what you know, 314=π5^2h. 5x5=25 and its multiplied with π. It would look like 314=25πh. Divide the 25π by both sides, leaving your h. Plug it into your calculator.

Check answer:

(I rounded the 4 to the nearest whole number) 4*25*π is approximately 314

User Yue JIN
by
8.5k points
3 votes

Answer:

4 ft

---------------

Volume of cylinder formula:

  • V = πr²h

Given:

  • r = 5 ft,
  • V = 314 ft³

Find h:

  • 314 = 3.14*5²h
  • 314 = 3.14*25h
  • h = 314/(3.14*25)
  • h = 4 ft
User Manny Fitzgerald
by
7.2k points