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 | |||
The thickness of the metallic tube is 1 cm and the inner diameter of the tube is 12 cm. Find the weight of 1 m long tube, if the density of the metal be | |||
| Right Option : A | |||
| 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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