Question

3. To the nearest tenth of a centimeter, how tall is a cylinder with a radius of 9.4 cm and volume of 3119 5 cm3.

Answer 1

11.2 cm

Step-by-step explanation

Given:

Radius, r = 9.4 cm

Volume of the cylinder, V = 3119.5 cm³

What to find:

How tall is the cylinder, i.e the height, h of the cylinder.

Step-by-step solution:

The height of the cylinder can be calculated using the volume of cylinder formula;

`\begin{gathered} V=\pi r^2h \\ \\ \Rightarrow h=(V)/(\pi r^2) \end{gathered}`

Putting the values of the given parameters and π = 3.14, we have;

`h=(3119.5cm^3)/(3.14*9.4cm^2)=(3119.5cm)/(277.45)=11.2cm`

How tall is the cylinder is 11.2 cm