Answer:C) 36:1
Explanation:
The formula for determining the volume of a cylinder is expressed as πr^2h
Where
h represents the height of the cylinder.
r represents the radius of the cylinder.
π is a constant.
These two right circular cylinders have the same height, 45 centimeters.
The radius of the smaller cylinder is 22 centimeters and the radius of the larger cylinder is 6 times greater than that of the smaller cylinder. This means that the radius of the larger cylinder would be
6 × 22 = 132 centimeters
Volume of the larger cylinder would be
π × 132^2 × 45 = π × 17424 × 45
Volume of the smaller cylinder would be
π × 484× 45
the ratio of the volume of the larger cylinder to the volume of the smaller cylinder would be
(π × 17424 × 45) / (π × 484× 45)
= 36 : 1