Question

the diameter of a metallic sphere is 4.2 cm is melted and recast into a right circular cone of height 8.4 cm find the radius of the cone​

Answer 1

Radius of sphere=2.1cm

height of cone=8.4cm

since sphere is melted and recasted into a cone then

volume of sphere=volume of cone

4/3πr.r.r=1/3πr.r.h

4*2.1*2.1*2.1=r*r*8.4

r*r=4*2.1*2.1*2.1/8.4

r*r=2.1*2.1

r=2.1cm

radius of cone=2.1cm

Answer 2

r =4.2.÷2cm

r=2.1cm

height of cone=?(radius of cone

vol.of sphere =vol.of cone

4÷3πr cude=1÷3r square h

4×2.1×2.1×2.1 =r square×8.4

4×2.1×2.1×2.1= r square

8.4

4

√2.1×2.1= r square

r= 2.1 cm