anonymous
  • anonymous
A landscaper dug a hole to plant a tree. The hole is shaped like a cylinder. If the hole is 1 foot 11 inches deep and has a diameter of 2 feet 1 inch, estimate how much dirt was removed.
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
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amistre64
  • amistre64
the volume of any cone shaped object is (1/3)(Base area)(height)
anonymous
  • anonymous
idk
amistre64
  • amistre64
we have a depth of 23 inches; and a base area of (12.5)^2pi

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amistre64
  • amistre64
(1/3)(156.25pi)(23) = your answer
amistre64
  • amistre64
about 1197.9pi inches^3
amistre64
  • amistre64
ack!!...helps if I read the entire question lol
amistre64
  • amistre64
cylander..not cone
anonymous
  • anonymous
Volume of a cylinder is Area of the Base * Height. Here, the base is a circle Area of a circle = pi r^2 So Volume = pi * r^2 * h Volume = 3.14 * 23^2 * 25 Volume 41526.5 in^3 This is the exact answer... But I noticed your problem says to estimate. So I would use Volume = 3.14 * 2 * 2 = 12.56 ft^3
anonymous
  • anonymous
i was giving answer choices and neither are the choices
amistre64
  • amistre64
(156.25pi)(23) = 3593.75 inches^3
anonymous
  • anonymous
a 6.3 ft2 b.7.1 c.7.5 d.8.9
amistre64
  • amistre64
ah...feet, i converted to inches to make life easier on me :)
anonymous
  • anonymous
lol
amistre64
  • amistre64
6.3 should be it
anonymous
  • anonymous
thanks
amistre64
  • amistre64
i get 6.5..... 6.3 is close if you use a short form of pi
anonymous
  • anonymous
please explain how u got that answer showing work is required (homework assignment)
amistre64
  • amistre64
i turned the measurements into fractions: 1'11" = 1 11/12 = 23/12 this is your depth/height 2'1" = 2 1/12 = 25/12 this is your diameter, we need half of it. 25/12/2 = 25/24 is your radius base area is pi(r^2): pi (25/24)^2 = pi(625/576) base area times height is area of cylinder pi(625/576)(23/12) = pi(14375/6912) when we plug these into the calulator... we get 2.08pi = 2.08(3.14) = 6.5312 so we go with the closest answer
anonymous
  • anonymous
thank you very much for your help

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