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Hey.

I need some help on the volume of a Cylinder. Let's say that the height is 1.1m and the diamter is 90cm. In my mathematics book the answer is 0.70cm3.

If i were in an examination and i the exact question could i put the answer down as 70cm3? Or does it have to be exactly 0.70cm3? By the way could someone be kind enough to tell me how to get 0.70cm3? What do i round off?

Thanks.

2007-08-24 03:48:41 · 12 answers · asked by Jay Garrick 1 in Science & Mathematics Mathematics

12 answers

The volume is given by the length times the surface of the circle. The surface is given by pi * r ^ 2.
r = the diameter divided by 2, so 45 cm.
The surface is now: pi * 45 ^2 = 3.14159265358979323 * 2025.
This multiplied by 1,1 mtr = 110 cm gives (I going to need a calculator now) = 699,789. cm3
So nearly 700 liters.
The answer in the book is wrong, or one of your sizes is wrong.

2007-08-24 03:58:44 · answer #1 · answered by Greek Oracle 4 · 1 0

Formula: Volume of the cylinder
V=pi r^2 h.
where h= height of cylinder and
r= radius of the cylinder
Here we are given:
h=1.1m and r= 1/2 diameter=1/2*90=45cm=0.45m
So V= pi*r^2*h
=pi(0.45)^2 *1.1
=0..69978976m^3
=.0.70m^3 approximately
the answer is 0.70m^3 and not 0.70cm^3. The answer in the book is wrong.
In cm^3, the answer is obtained by multiplying by 10^6, so it is
69977897.6cm^3

2007-08-24 04:43:12 · answer #2 · answered by Anonymous · 0 0

v=r2h
h=1.1 meters = 110 centimeters
dimater = 2*R = 90 Centimeters
First times 1.1 by 100 to get into centimeters
1.1*100=100 meters
divide 90 by 2 to get the radius
90/2=45
45^2*110
90*110=9900=.10 cm3

2007-08-24 04:02:58 · answer #3 · answered by firefighter 3 · 0 0

v of cylinder=pi r^2 h
h=1.1m=1.1*100
=110cm
r=90/2=45cm
v=pi r^2h=22/7*45*45*110

2007-08-24 03:59:54 · answer #4 · answered by aman d 2 · 0 0

Volume of cylinder =pi*radius*radius*height
=3.1416*0.45*0.45*1.1
=0.6997914 m3

Here I have converted all values into metre
1m=100 cm
so 45 cm=0.45 m

Normally we approximate pi upto two decimal places .For greater precision we can use pi upto 4 decimal places.It is upto the teacher's convention that you should follow in such cases.

To get the answer in cm^3
1m=100cm
So 1m^3=100*100*100=1000000 cm^3
so your answer in cm^3 is 699791.4 cm^3

You can approximate your answer into 0.7 m^3 and not 0.7cm^3

2007-08-24 04:25:34 · answer #5 · answered by JACKREX 2 · 0 0

I in ordinary terms have the hassle-unfastened formulation. yet i think of you'll be able to apply the fundamentals to discover the respond. photograph we are staring on the go area. We see a million circle with 1m of sand. on the sting of the sand and circle to the centre of the circle, the size is the radius = 2.5m From the main suitable of the sand, the size to the centre of the circle is radius - 1m = 2.5 - a million = a million.5m Now, we come across the perspective from a million edge of the sand to the different. yet till now that, we come across 0.5 of it 1st as such 2.5cosA = a million.5 the perspective between the two edges is 2A. Now, you utilize pi x r^2 x 2A/360, you will discover the area of the phase of the circle. next element you may deduct the area of the triangle from the phase and you gets area of the sand. Multiply by using the size and you gets the respond you like

2016-12-16 04:29:27 · answer #6 · answered by ? 4 · 0 0

radius = 90/2 =45 cm = 45/100 meters = 0.45
height = 1.1 meters
Volume of cylinder = Pi*r^2*h
Pi*(0.45)^2*1.1
=Pi*(0.22275)
= (22)(0.22275)/7
=0.7000714 cubic meters
=0.7 cubic meters

2007-08-24 04:41:06 · answer #7 · answered by mohanrao d 7 · 0 0

The radius is 0.45 m. So the area of the circle is 0.2025*pi m2.
The volume is 1.1*0.2025*pi m3 or 0.22275*pi m3 or 0.699789763 m3.

With a number like that, 0.7 m3 is acceptable. You units are incorrect. It should be m3 not cm3.

2007-08-24 04:02:58 · answer #8 · answered by jjsocrates 4 · 0 0

area of base times height
area of base is pi(r^2)
radius here is 45
square that you get 2025
multiply by pi= 2025(pi)
1.1 m = 110 cm
so multiply that with 2025(pi) you get 222750(pi)
222750 times 3.14 (3.14 is pi) is 699435 cm3
1m3 = to 1000000 cm3
convert it to m3 by dividing 699435 by 1000000
it'll come out to be .699435 cm3
round it off to get .70 cm3

2007-08-24 04:25:00 · answer #9 · answered by pockethotrod 3 · 0 0

d = 90 cm = 0.9 m
r = 45 cm = 0.45 m
h = 110 cm = 1.1 m
V = π r ² h
V = π x 0.45 ² x 1.1 m ³
V = 0.70 m ³ (to 2 decimal places)

2007-08-24 07:36:52 · answer #10 · answered by Como 7 · 0 0

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