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

Answer:

The volume is $3946.17cm^3$

Step-by-step explanation:

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

1 cm = 0.393701 in

r (cm)= 3.7 in

$h(cm)= \frac{3.7}{0.393701}= 9.398 cm$

1 cm = 0.393701 in

h (cm)= 5.6 in

$h(cm)= \frac{5.6}{0.393701}= 14.22 cm$

The formula the volume of cylinder is

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