1)
Find the volume of cone and the cylinder first.
Volume of Cone: 1/3πr²h
1/3(3.14)(6)²(15)
565.2
Volume of cylinder = πr²h
(3.14)(6)²(30)
3391.2
Volume of total hourglass = 3391.2 + 565.2 = 3956.4 mm
The time it takes can be found by:
3956.4/10π
3956.4/31.4
126
So it will take 126 seconds.
2)
Find the volume of the cone and the bubble gum.
volume of cone: 1/3πr²h
1/3(3.14)(1.5)²(3)
7.065
Volume of sphere bubble gum: 4/3πr³
radius = 0.5/2 = 0.25
4/3(3.14)(0.25)³
0.065
Volume of cone filled with ice:
v of cone - v of bubble gum
7.065 - 0.065 = 7
So 7in³ of the cone can be filled with flavored ice.
Hope this helps :)