How does one find capacity of a cylinder?

Question

I know it has something to do with height ,circumference and diameter but I simply have no idea how to find out .

We have a large cylinder at work which we use for melting hard fat into liquid for a food manufactering process ,during a stock check we are asked how much HPKO (the fat) we have , I count the unmelted boxes and that's that,however they have now said we must include melted fat in the melter .
I don't know the real measurments yet, so hypothetically speaking if the vessel was 1.60 meters tall and had a diameter of 54 cms .what would be the cubic capacity of said vessel.

Please help

Answer 1

Given:

diameter= 54cms,radius=54/2=27cms
height=1.60ms=160cms(1m=100cm)

Volume of the cylinder=22/7 * r * r* h

=3.14 * 27 *27 * 160

=366249.6 cubic cms.

Capacity of the cylinder = 366249.6/1000 (1litre=1000cubic cms)

= 366.2496litres=366.25litres

Answer 2

Capacity of the cylinder is the same as its volume.
And the formula for volume= 22/7R^2*h, where the R is the radius of the circular base and h is the height of the cylinder.
R=D/2 where D is the radius.
R=54/2
R=27cm
The height is in Metres and you need to convert it to Centimetres by multiplying by 100
h=1.60*100
h=160cm
V=22/7*27^2*160
v=366582.8571cm^3. Ans
But capacity can be measured in Litres.
1ltr=1000cm^3
Therefore the capacity =366582.8571/1000
= 366.6 Litres

Answer 3

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RE:
How does one find capacity of a cylinder?
I know it has something to do with height ,circumference and diameter but I simply have no idea how to find out .

We have a large cylinder at work which we use for melting hard fat into liquid for a food manufactering process ,during a stock check we are asked how much HPKO (the fat) we have , I...

Answer 4

A cylinder is a 3d shape with a constant cross-setion (i.e. it doesn't get wider or thinner down the length). The standard way to work out the volume is cross-sectional area times the length.

A cylinder has a cross-section of a circle. You can either work it out as pi*radius^2 or pi*(diameter^2)/4.

So the total volume in your example is equal to pi*0.54*0.54/4*1.6=0.366 metres cubed.
There are 1000 litres in a cubic meter, so your cylinder takes 366 litres.

Answer 5

Volume of cylinder = Area of base x height
If base is circular of radius , r , then area of base = π r ²
Volume of cylinder = V = π.r² . h
V = π x 27² x 160 cm³
V = 366435 cm³
V = 366 litres to nearest litre.

Answer 6

Calculate the volume of the cylinder by identifying the area of the base a multiply this by its height. Do this in cms to get the number of ccs.
(22/7 x 27 x 27)160 = 366582cc or 3665.82 cubic meters

Answer 7

Volume of a right cylinder can be measured by,

V = ╥r²h


h = 1.60m convert it into cm is h = 160cms


d = 54cms finding the radius d/2 so, r = 27cms


Using the formula for finding the volume of a cylinder,



V = ╥r²h


= (3.1416)(27cms)²(160cms)


= (3.1416)(729)(160)


= 366,436.224 cm³ ...................answer


(cubic capacity of said vessel)

Answer 8

The answer is pi * radius ^ 2 * height

For yours it would be 3.14 * (27)^2 * 160 or 366,249.6 cubic centimeters or approximately 96.78 US Gallons

Answer 9

Most people have got the answer correct but some have mixed up cm with m. Basically, those that have said 0.366m^3 are correct.

Answer 10

Everyone here is on the right track but has forgotten to halve your diameter into the radius or has got the units wrong.

The correct answer is 0.366m³