Ask a Doubt
Request a call back

Join NOW to get access to exclusive study material for best results

CBSE Class 10 Answered

A copper wire of 4 mm diameter is evenly wound about a cylinder whose length is 24 cm and diameter 20 cm so as to cover whole surface. Find the length and weight of the wire assuming the density to be 8.68 gm/cm3.
Asked by Topperlearning User | 20 Feb, 2014, 01:56: PM
answered-by-expert Expert Answer

Length of the cylinder = 24 cm

Diameter ofcopper wire = 4 m

One round of the wire will cover the surface of cylinder by 4 mm

Therefore, the number of rounds of wire to cover the length of cylinder

Now, distance of cylinder = 20 cm

Therefore, length of wire in one round = circumference of base of the cylinder

= 2straight pir =22 over 7 cross times 20 equals 440 over 7 space c m

Length of wire for covering the whole surface of cylinder = length of wire in 60 rounds

equals 60 cross times 440 over 7 equals 3771.428 space c m

Radius of copper wire = fraction numerator 0.4 over denominator 2 end fraction= 0.2cm

Therefore, volume of wire = straight pir2h equals 22 over 7 cross times open parentheses 0.2 close parentheses squared cross times 3771.428 equals 474.122 space c u. space c m

Weight of wire = volume × density = 474.122 × 8.68 = 4115.37 gm = 4.11537 kg

Answered by | 20 Feb, 2014, 03:56: PM

Application Videos

Concept Videos

Multiple Choice Questions Practice Test
Answered Unanswered My Questions My Answers
CBSE 10 - Maths
find the height of largest right circular cone that can be cut out of a cube whose volume is 729 cm³
Asked by jogindersingh7065929020 | 20 Jan, 2024, 09:29: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 10 - Maths
How many silver coins,1.75 cm.in diameter and thickness 2mm., need to be melted to form a cuboid of dimensions 5.5cm.x 10cm.x 3.5cm
Asked by kannaraoch123 | 05 Mar, 2020, 06:38: AM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 10 - Maths
What is radius of largest right circular cone that can be cut out from a cube of edge 4.2 cm   
Asked by soodnitin74 | 13 Dec, 2019, 09:50: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 10 - Maths
Rain water ,which falls on a flat rectangular surface of length 6m and breath 4m transferred into a cylindrical vessel of internal radius 20cm. What will be the height of water in the cylindrical vessel if a rainfall of 1cm has fallen?pie = 22/7
Asked by CHIDAMBAR | 15 Nov, 2018, 08:42: AM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 10 - Maths
Sushant has a vessel, of the form of an inverted cone, open at the top, of height 11 cm and radius of top as 2.5 cm and is full of water. Metallic spherical balls each of diameter 0.5 cm are put in the vessel due to which 25th of the water in the vessel flows out. Find how many balls were put in the vessel. Sushant made the arrangement so that the water that flows out irrigates the flower beds. What value has been shown by Sushant?
Asked by riyamaths | 15 Oct, 2018, 08:18: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 10 - Maths
The diameter of a copper sphere is 6 cm. the sphere is melted and recast into a wire. If the length of the wire is 36 cm, find its radius.
Asked by Topperlearning User | 27 Oct, 2017, 01:45: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 10 - Maths
A hemispherical bowl of internal radius 9 cm contains a liquid. This liquid is filled in small cylindrical bottles of diameter 3 cm and height 4 cm. Determine the number of bottles used to empty the bowl.
Asked by Topperlearning User | 27 Oct, 2017, 01:55: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 10 - Maths
A vessel is in the form of an inverted cone. Its height is 8 cm and the radius of its top which is open is 5 cm. It is filled with water up to the rim. When lead shots, each of which is a sphere of radius 0.5 cm, are dropped into the vessel, one fourth of the water flows out. Find the number of lead shots dropped in the vessel.
Asked by Topperlearning User | 27 Oct, 2017, 03:01: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 10 - Maths
A juice seller serves his customers using glasses that are cylindrical in shape, with a raised hemispherical bottom.The inner diameter of the cylindrical glass is 7 cm and height 12 cm. The bottom of the glass has a raised hemispherical portion. Find the apparent and actual capacities of the glass.
Asked by Topperlearning User | 27 Oct, 2017, 02:00: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 10 - Maths
A spherical cannon ball, 28 cm in diameter, is melted and cast into a right circular conical mould, the base of which is 35 cm in diameter. Find the height of the cone.
Asked by Topperlearning User | 27 Oct, 2017, 02:05: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
My Class Videos Tests ₹ Plans Ask a Doubt
Get Latest Study Material for Academic year 24-25 Click here
×