A drinking glass is shaped like a cylinder with a height of 12 cm and a radius of 4 cm. Maeva adds 25 spherical pieces of ice to the glass. The pieces of ice each have a diameter of 3 cm.
How many cubic centimeters of water can Maeva add to fill the glass to the rim?
Use 3.14 to approximate pi and express your answer in hundredths.
The volume of the cylinder is L*[tex] \pi r ^{2} [/tex] Which is 12 * 3.14 * 4[tex] ^{2} [/tex] =602.88 cubic cm
Each piece of ice's volume is defined as 4/3*[tex] \pi *r ^{3} [/tex] cubic cm (volume of a sphere). With r=3/2 (since 3 cm is the diameter) =4/3 * 3.14 * (3/2)[tex] ^{3} [/tex] =14.13 cubic cm
25 of those cumulate a total volume of 25 * 14.13 = 353.25 cm[tex] ^{3} [/tex] Which means that the free space for water is 602.88-353.25=249.63 cubic cm
