Question

A cylinder has radius R = 3.7 and height H = 5.6 both measured in inches. What is the volume of this cylinder measured in cm3? (Hint: The volume of a cylinder is given by V=\pi R^2HV = π R 2 H.)

Answer 1

The volume is
`3946.17cm^3`

Explanation:

We need to convert the radius and the height to cm first

1 cm = 0.393701 in

r (cm)= 3.7 in

`h(cm)= (3.7)/(0.393701)= 9.398 cm`

1 cm = 0.393701 in

h (cm)= 5.6 in

`h(cm)= (5.6)/(0.393701)= 14.22 cm`

The formula the volume of cylinder is

`volume= \pi r^2h\\\\volume= 3.142*9.398^2*14.22\\volume=3946.17cm^3`