Question

Jolie is redesigning a water bottle to fit better in her cup holder. The diameter will have to be no larger 2.5 in. The water bottle is straight up and down. What would the height of the bottle be if she wants it to have a 99.34 in3 volume. (Round to nearest whole number)

Answer 1

20in

Explanations:

The water bottle in question is known to be cylindrical in shape. The formula for calculating the volume of a cylinder is expressed as:

`V=\pi r^2h`

where;

r is the radius

h is the height

Given the following parameters

diameter = 2.5in

radius = 2.5/2 = 1.25in

volume = 99.34 in^3

Required

Height of the water bottle

Substitute the given parameters intothe formula

`\begin{gathered} 99.34=3.14(1.25)^2* h \\ 99.36=4.90625h \\ h=(99.36)/(4.90625) \\ h=20.25\approx20in \end{gathered}`

The height of the water bottle will be 20in