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Find the volume and surface area of a right circular cylinder with a diameter of 200 centimeters and a height of 100 centimeters.

Thank you :]

2007-04-18 03:42:16 · 7 answers · asked by Anonymous 2 in Science & Mathematics Mathematics

7 answers

diameter is 200 cms =d = 2*r (r=radius)
height is 100 cms =h

volume=pi*(r)^2*h
surface area=2*pi*r^2 + 2*pi*r*h

2007-04-18 03:48:01 · answer #1 · answered by Anonymous · 0 0

Surface Area:
2 pi r^2 + 2 pi r h
2pi2500 + 2 pi 50*100
5000pi + 1000pi
6000pi or 18 849.5

2007-04-18 10:48:22 · answer #2 · answered by Anonymous · 0 0

The volume is easy:

Area of the base (circle: Area = pie are squared) times the height.

In your problem, r (radius) is half the diameter.
height is 100 cm. The result will be in cubic centimetres (a thousand of those gives one litre).

Surface area: You have to add three surfaces:

Two circles (bottom and top), area as above.
The side: It can be unwrapped into a rectangle: one side is the height (as above), the other side is the circumference of the circles (pi*Diameter).

Area of rectangle: multiply one side by the other.

The result will be in squared centimetres.

2007-04-18 10:48:14 · answer #3 · answered by Raymond 7 · 0 0

Volume = πr²h = π(100)²100 = 1000000πcm³

Area = 2πrh + 2πr² = 2πr(r+h) = 2π(100)(200) = 40000πcm²

2007-04-18 10:50:48 · answer #4 · answered by Dave 6 · 0 0

Formula for volume of right circular cylinder = Pie(r)(r)(h)
Volume is about 3,141,592 cubic cms

Formula for surface area of right circular cylinder = 2Pie(r)(h) + 2Pie(r)(r)
Surface area is about 62831.9 square cms

2007-04-18 10:55:42 · answer #5 · answered by Shyam S 1 · 0 0

volume: pi*r^2*h so pi*100*100*100 ~ 3141592.6536 cu cm

Surface area: 2*pi*r*(r+h) so 2*pi*100*(100+100) ~ 125663.7 sq cm

2007-04-18 10:53:17 · answer #6 · answered by hsar30 2 · 0 0

V = π r^2h
V = π (100cm * 100cm) * 100cm
V approx. = 3,141,592cm^3

A = 2πRh + 2πR^2
A = 2π (100cm) * (100cm) + 2π (100cm * 100cm)
A = 62,831.84 cm^2 + 62,831.84cm^2
A = 125,663.68cm^2

2007-04-18 10:54:26 · answer #7 · answered by Anonymous · 0 0

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