Answer
a. The volume is multiplied by 4
b. The volume is doubled
Explanation
a. The volume of a cone with radius r and height h is [tex]\pi r^2 h/3[/tex]. If the radius is doubled, the new volume will be [tex]\pi (2r)^2h/3[/tex], which is equal to [tex]4\pi r^2h/3[/tex]. This means that the volume is multiplied by 4.
b. The volume of a cone with radius r and height h is [tex]\pi r^2 h/3[/tex]. If the height is doubled, the new volume will be [tex]\pi r^2(2h)/3[/tex], which is equal to [tex]2\pi r^2 h/3[/tex]. This means that the volume is multiplied by 2.
