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)

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

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