Dan is calculating the volume of two cylinders. Cylinder A has a radius of 2 feet and a height of 4 feet. Cylinder B also has a height of 4 feet, but the radius has been doubled. Which statement best describes the relationship between the volumes of the two cylinders? A) When the radius is doubled, the resulting volume is half the original volume. B) When the radius is doubled, the resulting volume is 2 times the original volume. C) When the radius is doubled, the resulting volume is 4 times the original volume. D) When the radius is doubled, the resulting volume is 8 times the original volume.
we have that Cylinder A has a radius of 2 feet and a height of 4 feet so volume of the cylinder A=pi*r²*h-----> pi*2²*4-----> 16*pi ft³
Cylinder B also has a height of 4 feet, but the radius has been doubled h=4 ft r=2*2---> 4 ft so volume of the cylinder B=pi*r²*h-----> pi*4²*4-----> 64*pi ft³