Adv
Deepak Bora
  • 0

A solid metal cylinder of radius 14 cm and height 21 cm is melted down and recast into spheres of radius 3.5 cm. Calculate the number of spheres that can be made.

  • 0

ICSE Board Question Based on Mensuration Chapter of M.L Aggarwal for class10
A solid metal cylinder with given radius and height is melted down and recast into spheres of radius 3.5 cm. Calculate the number of spheres that can be made.
This is the Question Number 22, Exercise 17.5 of M.L Aggarwal.

Share

Related Questions

Adv

1 Answer

  1. Given radius of the metal cylinder, r = 14 cm

    Height of the metal cylinder, h = 21 cm

    Radius of the sphere, R = 3.5 cm

    Volume of the metal cylinder = r2h

    = (22/7)×142×21

    = 22×2×14×21

    = 12936 cm3

    Volume of sphere = (4/3)R3

    = (4/3)×(22/7)×3.53

    = 11×49/3

    = 539/3 cm3

    Number of spheres that can be made = Volume of the metal cylinder/ Volume of sphere

    = 12936 ÷539/3

    = 12936 ×3/539

    = 72

    Hence the number of spheres that can be made is 72.

    • 0
Leave an answer

Leave an answer

Browse

Choose from here the video type.

Put Video ID here: https://www.youtube.com/watch?v=sdUUx5FdySs Ex: "sdUUx5FdySs".

Captcha Click on image to update the captcha.