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What is the volume of the tank? Round answer to nearest cubic foot?
A propane tank is made up of a cylinder with hemispheres
on each end. If the total length of the tank is 6 feet and
height is 2 feet,what is the volume of the tank? Round
answer to nearest cubic foot?

I don't know what they mean by 'height' here. I think they mean the tank is lying on its side, so 2 ft would be the diameter of each hemisphere, and the diameter of the cylinder.

That makes the radius 1 ft.
a sphere with a radius of 1 foot.

Volume of a cylinder = 3.14 x r^2 x height
=3.14 x radius x radius x height

Volume of a sphere = 4/3 x 3.14 x radius^3
= 4/3x 3.14 x radius x radius x radius

Volume of a hemisphere =4/3 x 3.14 x radius x radius x radius x 1 /2

2 Hemispheres makes one sphere
Volume of composite solid=Volume of a cylinder + Volume of a sphere

(3.14 x 1 x1 x 6 ) + (4/3 x 3.14 x 1 x 1 x 1) =
18.84 + 4.18666666 =23.02666666
Round answer to nearest cubic foot? answer is 23
volume of cylinder is 3.14x1x1x6=18.84 or 3.14x1x1x4 = 12.56?

2007-11-14 09:11:10 · 4 answers · asked by Anonymous in Science & Mathematics Mathematics

4 answers

Looks like :-
a cylinder radius 2ft and length 4 ft
hemispheres of radius 1 ft

Total V
(4/3) (π) 1³ + π (1²) 4 ft ³
(4/3)π + 4π ft ³
(16/3) π ft ³
16.8 ft ³

2007-11-21 05:44:14 · answer #1 · answered by Como 7 · 1 1

as i see it, with the radius being 1 foot, you have the volume of a cylinder which is 4 feet long with a 1 foot radius and a sphere of radius 1 foot as well. for the cylinder: Pi x 1squared x 4feet = 12.56 for the sphere: 4/3 x Pi x 1cubed = 4.18 which gives the total volume as 16.74 or 17 cubic feet

2016-05-23 04:26:28 · answer #2 · answered by krystle 3 · 0 0

Volume of a cylinder = area of circle x length of cylinder
= pi x r^2 x length
= pi x 1 ft^2 x 6 ft
=~ 19 cubic feet

2007-11-14 09:19:31 · answer #3 · answered by Suzie Q 2 · 0 1

Always look at your units. The area of one end is pi*R squared right? R=1 since the "height" is 2. So the area of one end is 3.1456 ft2.

The length is 6ft. You want ft3 right? So 3.1456 Ft2 x 6 ft is your answer in ft3.

2007-11-14 09:22:41 · answer #4 · answered by Ken W 1 · 0 1

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