Adv
SanuByahut
  • 0
Newbie

The diameters of the internal and external surfaces of a hollow spherical shell are 6 cm and 10 cm respectively. If it is melted and recast into a solid cylinder of diameter 14 cm, find the height of the cylinder.

  • 0

Very important question of mensuration including
very important concept of it.need solution!
Rd sharma class 10 maths exercise-16.1 mensuration.

we have to find find the height of the cylinder given that the
diameters of the internal and external surfaces of a
hollow spherical shell are 6 cm and 10 cm respectively. If it is melted
and recast into a solid cylinder of diameter 14 cm.

Share

1 Answer

  1. Given,

    Internal diameter of hollow spherical shell = 6 cm

    So, the internal radius of hollow spherical shell = 6/2 = 3 cm = r

    External diameter of hollow spherical shell = 10 cm

    So, the external diameter of hollow spherical shell = 10/2 = 5 cm = R

    Diameter of the cylinder = 14 cm

    So, the radius of cylinder = 14/2 = 7 cm

    Let the height of cylinder be taken as h cm

    Then, according to the question we have

    Volume of cylinder = Volume of spherical shell

    π × r2 × h = 4/3 π × (R3 – r3)

    π × 72 × h = 4/3 π × (53 – 33)

    h = 4/3 x 2

    h = 8/3 cm

    Therefore, the height of the cylinder = 8/3 cm

    • 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.

Related Questions