Browse by Stream
QnA
Home
QnA
Go To Your Study Dashboard

Get Answers to all your Questions

header-bg qa
  • Home
  • School
  • A solid cube of side 7 cm is melted to make a cone of height 5 cm , find the radius of the base of the cone .

A solid cube of side 7 cm is melted to make a cone of height 5 cm , find the radius of the base of the cone .

Answers (1)

best_answer

Solution:  We have , 

                  Volume of the cube =(side)^3=7^3 cm^3=343cm^3

Let the radius of the base of the cone be r cm . Then , 

                 Volume of the cone = frac13 imes frac227 imes r^2 imes 5 cm^3

since the solid cube is melted to make a cone . 

herefore             Volume of the cube = Volume of the cone 

Rightarrow           343=frac13 imes frac227 imes r^2 imes5

Rightarrow          r^2=frac343 imes3 imes722 imes5=frac7203110=65.48Rightarrow r=sqrt65.48cm =8.09cm

Posted by

Deependra Verma

View full answer

Similar Questions

Latest Question