Maths-
General
Easy

Question

If the Diameter of the metallic sphere is 6 cm , it melted and a wire of diameter 0.2 cm is drawn. Then , what would be the length of the wire ?

hintHint:

The volume of sphere = 4 over 3 pi r cubed
The volume of cylinder = pi r squared h

The correct answer is: 3600mm.


    Explanation:
    • We have given diameter of the metallic sphere is 6 cm , it melted and a wire of diameter 0.2 cm is drawn.
    • We have to find the length of the wire.
    Step 1 of 1:
    We have  diameter of metallic sphere 6cm
    Radius of metallic sphere 3cm
    Also we have diameter of cross-section of cylinder wire 0.2cm
    So, Radius of cross-section of cylinder wire 0.1cm
    Let the length of the wire be hcm
    Since the metallic sphere is converted into cylindrical shaped wire of length hcm
    Volume of metal used in wire is equal to volume of sphere
    So,
    pi r squared h equals 4 over 3 pi r cubed
    pi left parenthesis 0.1 right parenthesis squared h equals 4 over 3 pi left parenthesis 3 right parenthesis cubed
    0.01h = 36
    h = 3600 cm
    Therefore, The length of the wire is 3600cm.

    Related Questions to study

    General
    Maths-

    Bloom’s category: Understanding
    Level: Medium
    A point has ____ dimension.

    Bloom’s category: Understanding
    Level: Medium
    A point has ____ dimension.

    Maths-General
    General
    Maths-

    A capsule of medicine is in the shape of a sphere of diameter 3.5 mm. How much medicine is needed to fill this capsule ?

    A capsule of medicine is in the shape of a sphere of diameter 3.5 mm. How much medicine is needed to fill this capsule ?

    Maths-General
    General
    Maths-

    Prove that the sum of the squares of the diagonals of a parallelogram is equal to sum of the squares of its sides.

    Prove that the sum of the squares of the diagonals of a parallelogram is equal to sum of the squares of its sides.

    Maths-General
    parallel
    General
    Maths-

    Twenty seven solid iron spheres , each of radius r and surface area S are melted to form a sphere with surface area S’. Find the i) Radius r’ of the new sphere ii) ratio of S and S’

    Twenty seven solid iron spheres , each of radius r and surface area S are melted to form a sphere with surface area S’. Find the i) Radius r’ of the new sphere ii) ratio of S and S’

    Maths-General
    General
    Maths-

    Bloom’s category: Application
    Level: Medium
    Identify points, lines and planes in the given image of a floor.

    Bloom’s category: Application
    Level: Medium
    Identify points, lines and planes in the given image of a floor.

    Maths-General
    General
    Maths-

    A dome of a building is in the form of a hemisphere. From inside it was white washed at the cost of RS 4989.60. If the cost of white washing is Rs 20 per square metre , find the i) inside surface area of the dome ii) Volume of the air inside the dome

    A dome of a building is in the form of a hemisphere. From inside it was white washed at the cost of RS 4989.60. If the cost of white washing is Rs 20 per square metre , find the i) inside surface area of the dome ii) Volume of the air inside the dome

    Maths-General
    parallel
    General
    Maths-

    Find the volume of a sphere whose surface area is 154 sq.cm

    Find the volume of a sphere whose surface area is 154 sq.cm

    Maths-General
    General
    Maths-

    A hemispherical tank is made up of an iron sheet 1 cm thick. If the inner radius is 1m , then find the volume of the iron used to make the tank ?

    A hemispherical tank is made up of an iron sheet 1 cm thick. If the inner radius is 1m , then find the volume of the iron used to make the tank ?

    Maths-General
    General
    Maths-

    How many litres of milk can a hemispherical bowl of diameter 10.5 cm hold?

    How many litres of milk can a hemispherical bowl of diameter 10.5 cm hold?

    Maths-General
    parallel
    General
    Maths-

    straight angle A of an isosceles triangle ABC is acute in which A B equals A C text  and  end text B D perpendicular A C and . Prove that
    B C squared equals 2 cross times A C cross times C D

    straight angle A of an isosceles triangle ABC is acute in which A B equals A C text  and  end text B D perpendicular A C and . Prove that
    B C squared equals 2 cross times A C cross times C D

    Maths-General
    General
    Maths-

    The Diameter of the moon is approximately one fourth of the diameter of the earth. What fraction of the volume of the earth is the volume of the moon?

    The Diameter of the moon is approximately one fourth of the diameter of the earth. What fraction of the volume of the earth is the volume of the moon?

    Maths-General
    General
    Maths-

    The diameter of a metallic ball is 4.2 cm. What is the mass of the ball , if the density of the metal is 8.9 g per cubic cm ?

    The diameter of a metallic ball is 4.2 cm. What is the mass of the ball , if the density of the metal is 8.9 g per cubic cm ?

    Maths-General
    parallel
    General
    Maths-

    Find the amount of water displaced by a solid spherical ball of diameter 0.21m

    Find the amount of water displaced by a solid spherical ball of diameter 0.21m

    Maths-General
    General
    Maths-

    Write truth table for the converse of p → q.

    Write truth table for the converse of p → q.

    Maths-General
    General
    Maths-

    Find the volume of a sphere whose radius is 0.63 m

    Find the volume of a sphere whose radius is 0.63 m

    Maths-General
    parallel

    card img

    With Turito Academy.

    card img

    With Turito Foundation.

    card img

    Get an Expert Advice From Turito.

    Turito Academy

    card img

    With Turito Academy.

    Test Prep

    card img

    With Turito Foundation.