Question

A drinking glass is shaped like a cylinder with a height of 5 in. and a diameter of 3 in. Maeva adds 25 spherical pieces of ice to the glass. The pieces of ice each have a diameter of 1.1 in.
How many cubic inches of water can Maeva add to fill the glass to the rim? Use 3.14 to approximate pi and round your answer to one decimal place.

Answer 1

First find volume of glass
find volume of ice
subtract


cylinder area=height times are of base

height=5
area of base=circle=pi times radius^2
diameter=2radius
diameter/2=radius
3/2=radius=1.5


pi=aprox 3.14
3.14 times 1.5^2=7.065
7.065 times 5=35.325=volume of glass

25 spereical ice
volume of shqere=4/3 times pi timers r^3
diameter/2=r
1.1/2=0.55
4/3 times 3.14 times 0.55^3=0.696557=1 ice
multiply by 25
17.4139
subtract
35.325-17.4139=17.9111
round to one decimal place
17.9

the answer is 17.9 cubic inches or
17.9 in^3