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.

Question

amistre64 · Answer

the volume of any cone shaped object is  (1/3)(Base area)(height)

anonymous · Answer

idk

amistre64 · Answer

we have a depth of 23 inches; and a base area of (12.5)^2pi

amistre64 · Answer

(1/3)(156.25pi)(23) = your answer

amistre64 · Answer

about 1197.9pi inches^3

amistre64 · Answer

ack!!...helps if I read the entire question lol

amistre64 · Answer

cylander..not cone

anonymous · Answer

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 · Answer

i was giving answer choices and neither are the choices

amistre64 · Answer

(156.25pi)(23) = 3593.75 inches^3

anonymous · Answer

a 6.3 ft2 b.7.1 c.7.5 d.8.9

amistre64 · Answer

ah...feet, i converted to inches to make life easier on me :)

anonymous · Answer

lol

amistre64 · Answer

6.3 should be it

anonymous · Answer

thanks

amistre64 · Answer

i get 6.5..... 6.3 is close if you use a short form of pi

anonymous · Answer

please explain how u got that answer showing work is required
(homework assignment)

amistre64 · Answer

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 · Answer

thank you very much for your help