Question

A graduated cylinder with a radius of 3 cm contains water to a height of 9 cm. Yann adds 15 steel balls, each with a diameter of 3 cm. What is the total volume of the contents in the cylinder after the balls are added? Use 3.14 to approximate pi and express your answer in hundredths.

Answer 1

find volume
Vcylinder=hpir^2

volume of cylinder=(4/3)pir^3


water to height of 9
radis i3
V=9*pi*3^3
V=81pi

the balls
15 of them
diameter/2=radius
3/2=1.5
radous=1.5
15V=15(4/3)(pi)(1.5^3)
15V=20pi(3.375)
15V=67.5pi


addd tehm

81pi+67.5pi=148.5pi
aprox pi=3.14
148.5*3.14=466.29 cm^3