a solid plastic cylinder has a radius of 8cm and a height of 15cm
eighteen of these cylinders are put into a rectangular box measuring 48cm by 48cm by 30cm.
the space around the cylinders is filled with packing.
calculate the volume of packing required.
2007-06-25 03:27:30 · 9 answers · asked by Est passé de velours ♥Rose♥ 5 in Science & Mathematics ➔ Mathematics
First, calculate the total volume of the 18 cylinders.
Volume of ONE cylinder = pi * radius*radius *height
Therefore, volume of ONE cylinder = 3.14 * 8*8*15 = 3014.4 cm cubed
Now, find the volume of 18 cylinders.
Volume of 18 cylinders = 18 * Volume of ONE cylinder
= 18*3014.4 = 54259.2 cm cubed
Next we find the total volume available for the 18 cylinders.
Therefore, Volume of box = 48 * 48 * 30 = 69120 cm cubed
The difference of these two volumes gives the volume of the packing material required.
So, volume of packing material required = 69120 - 54259.2
= 14860.8 cm cubed
2007-06-25 03:39:28 · answer #1 · answered by seminewton 3 · 1⤊ 1⤋
Volume of Packing= Volume of Box - Volume of Cylinders
Vp= (48*48*30) -( 18 * (Pi*8^2*15))
Vp= 69120 - (54259.20)
Vp= 14860.80 cm^3
2007-06-25 03:33:54 · answer #2 · answered by Makotto 4 · 0⤊ 0⤋
i believe the answer is 14833.279
pi(8)^2(15) <---volume of cylinder= 3015.929cm^3
multiply that by 18 = 54286.72105cm^3
mulitiply 48 and 48 and 30= 69120cm^3
subtract 69120 -54286.72105 = 14833.279cm^3
im not positive that its right though
2007-06-25 03:38:25 · answer #3 · answered by Anonymous · 0⤊ 0⤋
Volume of cylinder = pi * r * r * h = 3015.92 cm^3
Volume of box = l * w * h = 69120 cm^3
18 cylinders = 54286.72 cm^3
Packing required = 69120 - 54286.72 = 14833.28 cm^3
2007-06-25 03:36:10 · answer #4 · answered by ? 7 · 0⤊ 0⤋
vulume of 18 cylinders=18xpir^2h=18xpix8^2x15 cm^3=18x64x15xpi= 54286. 72 cm^3
volume of box=48x48x30cm^3=69120cm^3
volume of packing=69120-54286.72=14833.28cm^3answer
2007-06-25 03:42:23 · answer #5 · answered by Anonymous · 0⤊ 1⤋
(48*48*30)-(8^2*pi*15*18)
volume of the box is 48*48*30=69120cm^3
volume of one cylinder is r^2*pi*h=8^2*pi*h
2007-06-25 03:37:47 · answer #6 · answered by Martin S 7 · 0⤊ 1⤋
basic maths using pye
2007-06-25 03:33:30 · answer #7 · answered by Goat Whacker 5 · 0⤊ 0⤋
Ten pints - or is that how much beer I drank last night?
2007-06-25 03:31:20 · answer #8 · answered by Mad Professor 4 · 0⤊ 1⤋
vol required= 14811.5cm*cm*cm
2007-06-25 03:35:52 · answer #9 · answered by catherine 2 · 0⤊ 0⤋