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.
Stacey Warren - Expert brainly.com
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the volume of any cone shaped object is (1/3)(Base area)(height)
we have a depth of 23 inches; and a base area of (12.5)^2pi
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(1/3)(156.25pi)(23) = your answer
about 1197.9pi inches^3
ack!!...helps if I read the entire question lol
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
i was giving answer choices and neither are the choices
(156.25pi)(23) = 3593.75 inches^3
a 6.3 ft2 b.7.1 c.7.5 d.8.9
ah...feet, i converted to inches to make life easier on me :)
6.3 should be it
i get 6.5..... 6.3 is close if you use a short form of pi
please explain how u got that answer showing work is required
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