Geometry help, please?

Question

An oil filter for a small car is cylindrical with a diameter of 3.6 inches and a height of 3.6 inches. What is the volume of the oil filter?

Answer 1

An oil filter for a small car is cylindrical its a diameter = 3.6 inches

Here diameter = 2* radius

Divide each side by 2

diameter / 2  = radius

There fore radius = diameter / 2

Substitute diameter = 3.6 inches

radius (r) = 3.6 / 2

r = 1.8 inches

An oil filter for a small car is cylindrical its a radius = 1.8 inches

 The cylinder height (h)  = 3.6 inches

The volume of the cylinder =π * r² * h

Substitute π = 3.14(approximately) , r = 1.8 inches and h = 3.6 inches

There fore The volume of the cylinder = 3.14 * 1.8² * 3.6

The volume of the cylinder = 41.14656

The volume of the oil filter = 41.15cube inches.(Nearest round the ten digits)

 

 

Comments

Volume of the oil filter V = 3.14 * 1.8² * 3.6

V = 36.62 cube inches.