Question

The volume of a right cylinder is found by the formula V equals pi r squared h. Two cylinders both have a height of 10 centimeters. One has a volume of 2009.6 cubic centimeters. The other has a volume of 196.25 cubic centimeters. What is the radius of each cylinder? (Use 3.14 as an approximation of pi.)

1. The radii of the cylinders found using the formular for the volume of a cylinder, and the 2009.6 cubic centimeter and 196.25 cubic centimeter volumes of the cylinders, indicates;
The radius of the 2009.6 cm³ cylinder is 8 centimeters
The radius of the 196.25 cm³ cylinder is 2.5 centimeters

### What is a cylinder?

A cylinder is a solid that has three dimensions, consisting of two circular, parallel bases that enclose a curved pipe like surface in between.
The volume of one cylinder = 2009.6 cubic centimeters
The volume of the other cylinder = 196.25 cubic centimeters
The height of each cylinder, h = 10 centimeters
The formula for finding the volume of a cylinder is; V = π·r²·h
Where;
r = The radius of the cylinder
h = The height of the cylinder
The formula for finding the volume of a cylinder indicates;
r² = V/(π·h)
r = √(V/(π·h))
The radius of the cylinder of volume 2009.6 cubic centimeters, r₁ is therefore;
r = √(2009.6/(3.14 × 10) = 8
The radius of the 2009.6 cubic centimeters volume cylinder is r₁ = 8 cm
The radius, of the 196.25 cubic centimeters cylinder, r₂, is therefore;
r₂ = √(196.25/(3.14×10)) = 2.5
The radius of the 196.25 cubic centimeter volume cylinder, r₂ = 2.5 cm