The diameter of a water bottle is 2.4 centimeters. The height is 10.3 centimeters. What is the volume? Show work

The volume of the bottle is 46.56cm³

Step-by-step explanation:

Thinking of the bottle as a cylinder we can solve the problem as follows

radius = half of diameter

d = 2.4cm

r = 2.4cm / 2 = 1.2cm

To calculate the volume of a cylinder we have to use the following formula:

v = volume

h = height = 10.3cm

π = 3.14

r = radius = 1.2cm

v = (π * r²) * h

we replace with the known values

v = (3.14 * (1.2cm) ²) * 10.3cm

v = (3.14 * 1.44cm²) * 10.3cm

v = 4.52cm² * 10.3cm

v = 46.56cm³

The volume of the cylinder is 46.56cm³