Question

a cylindrical vessel of radius 3.5 cm and height 30 cm is fixed inside a similar cylindrical vessel of radius of 7 cm and height 30 cm the space between the two vessel is filled with cork dust. How many cubic centimeter of cork dust will be required.
With the steps.

Answer 1

Heya,

    We know,  

Volume of Cylinder = πr²h    

∵ Volume of Internal Cylinder  ​

= [22/7 × 3.5 × 3.5 × 30] cm³  

= [22/7 × 3.5 × 3.5 × 30] cm³  

= [22 × 5 × 3.5 × 3] cm³  

= 1,155 cm³    

∵ Volume of External Cylinder ​

= [22/7 × 7 × 7 × 30] cm³  

= [22 × 7 × 30] cm³  

= 4,620 cm³    

∴ Quantity of Cubic Dust required  

= [4,620 - 1,155] cm³  

= 3,465 cm³    

Hope it helps !