Answer:
the volume of the sphere will be 4 times the volume of the cone;
Step-by-step explanation:
The question is on volume comparison
Volume of a sphere=4/3 [tex]\pi[/tex]×r³
Volume of a cone= [tex]\pi[/tex]/3×r²h
where r is the radius and h is the height
Apply the condition
If r=h=1 unit
Then volume of sphere will be= 4/3 × [tex]\pi[/tex]×1³ = 4/3[tex]\pi[/tex]
And volume of the cone will be= [tex]\pi[/tex]/3 ×1²×1 =[tex]\pi[/tex]/3
We can see the volume of the sphere will be 4 times the volume of the cone;
4/3[tex]\pi[/tex] = 4×[tex]\pi[/tex]/3
