Volume of Hollow Cylinder
Volume of Hollow Cylinder
Let R and r be the external and internal radii of a hollow cylinder and h be its height as shown in the following figure. Then,
Volume of the material = Exterior volume - Interior Volume
Illustration: A cylindrical road roller made of iron is 1 m wide. Its inner diameter is 54 cm and thickness of the iron sheet rolled into the road roller is 9 cm. find the weight of the roller if 1 c.c of iron weighs 8 gm.
Solution: The width of the road roller is 1 m i.e.100 cm
So, Height(Length) of the cylinder = 100 cm
Inner radius of the cylinder
Thickness of the iron sheet = 9 cm
So, Outer radius of the cylinder = R = (27 + 9) = 36 cm
Thus, volume of the iron sheet used =
As we know that Weight = Volume X Density
So, Weight of the roller = 178038 X 8 gms
A hollow cylindrical pipe is 21 dm long. Its outer and inner diameters are 8 cm and 6 cm respectively. Find the volume of the copper used in making the pipe. | |||
| Right Option : B | |||
| View Explanation | |||
A cylinder tube, open at both ends, is made of metal. The internal diameter of the tube is 10.4 cm and its length is 25 cm. The thickness of the metal is 8 mm everywhere . Calculate the volume of the metal. | |||
| Right Option : B | |||
| View Explanation | |||
The thickness of a hollow wooden cylinder is 3 cm. It is 35 cm long and its inner radius is 12 cm. Find the volume of the wood required to make the cylinder, assuming it is open at either end. | |||
| Right Option : C | |||
| View Explanation | |||
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