Question

A bottle of lotion is shaped like a cylinder with a radius of 3 cm and a height of 12 cm. The empty tube inside the cylinder has a radius of 0.5 cm and is the same height as the bottle.
What is the volume of the lotion in the bottle? Use 3.14 to approximate pi, and express your answer to one decimal place.

_____cm3

Answer 1

$Volume\ of \ the\ lotion=Volume_1-Volume_2\\\\ Volume_1=\pi\ radius_1^2*height\\ Volume_2=\pi raadius_2^2*height\\\\ Volume_1=3.14*3^2*12=3.14*9*12=339,12cm^3\\ Volume_2= 3.14* 0.5^2*12=3.14*0.25*12=9.42cm^3\\\\ Volume\ of\ the\ lotion=339,12cm^2-9.42cm^3=329.7cm^3\\\\ Answer:\ 329.7cm^3$