Grandma edith uses her big punch bowl at family gatherings. the bowl is half of a sphere, with a diameter of 30 cm. her ladle is also half of a sphere, with a diameter of 8 cm. how many ladles can grandma edith scoop from the punch bowl? use 3.14 to approximate pi and express your answer as a whole number. show your work.

1) we calculate the volume of the big punch bowl
Volume (half sphere)=(1/2)(4/3)πr³=2/3πr³
radius=30 cm / 2=15 cm

Volume=(2/3)π(15 cm)³=2250π cm³

2) we calculate the volume of the ladle:
radius=8 cm/2=4 cm
Volume=(2/3)π(4 cm)³=128π/3 cm³

3) we calculate the number of ladles by the rule of three.
1 ladle128π/3 cm³
x2250π cm³

x=(1 ladle * 2250π cm³) / (128π/3 cm³)=52.73 ladles≈52 ladles

52 ladles.