Advertisements
Advertisements
Question
Find the length of 13.2 kg of copper wire of diameter 4 mm, when 1 cubic cm of copper weighs 8.4 gm.
Solution
Given data is as follows:
Weight of copper wire = 13.2 kg
Diameter = 4 mm
Density = 8.4 gm/cm3
We have to find the length of the copper wire.
Given is the diameter of the wire which is 4 mm. Therefore,
r = 2 mm
Let us convert r from millimeter to centimeter, since density is in terms of gm/cm3. Therefore,
r = `2/10` cm
Also, weight of the copper wire is given in kilograms. Let us convert into grams since density is in terms of gm/cm3 . Therefore, we have,
Weight of copper wire = 13.2 × 1000 gm
= 13200 gm
We know that,
Volume × Density = Weight
Therefore,
`pir^2h xx 8.4 = 13.2`
`22/7 xx 2/10 xx 2/10 xx h xx 8.4 = 13200`
h = 12500 cm
h = 125m
Hence, the length of the copper wire is 125 meters.
APPEARS IN
RELATED QUESTIONS
Find the length of 13.2 kg of copper wire of diameter 4 mm, when 1 cubic cm of copper weighs 8.4 gm.
If the lateral surface of a cylinder is 94.2 cm2 and its height is 5 cm, find:
(i) radius of its base
(ii) volume of the cylinder
[Use ` pi` = 3.14]
The difference between inside and outside surfaces of a cylindrical tube 14 cm long is 88 sq. cm. If the volume of the tube is 176 cubic cm, find the inner and outer radii of the tube.
The ratio between the radius of the base and height of a cylinder is 2 : 3. If its volume is 1617 cm3, find the total surface area of the cylinder.
If the radii of two cylinder are in the ratio 2 : 3 and their heights are in the ratio 5 : 3, then find the ratio of their volumes.
If the height of a cylinder is doubled and radius remains the same, then volume will be ______.
Two circular cylinders of equal volume have their heights in the ratio 1 : 2 Ratio of their radii is
Two steel sheets each of length a1 and breadth a2 are used to prepare the surfaces of two right circular cylinders ⇀ one having volume v1 and height a2 and other having volume v2 and height a1. Then,
Find the volume of a cylinder which has a base diameter cm and height 24cm.
The radius of the base of a right circular cylinder is tripled and the height is doubled. What is the ratio of volume of the new cylinder to that of the original cylinder?
