The figure shows a grapefruit half. The radius to the outsideof the rind is 5 cm. The radius to the inside of the rind is 4 cm. The edible part ofthe grapefruit is divided into 12 equal sections. Find the volume of the half grapefruit and the volume of one ediblesection. Give your answers in terms of .

the volume of the inside of half grapefruit is ( 128/3) pi the volume of 1 of the 12 segments is (32/9) pi

Step-by-step explanation:

The volume of half a sphere (hemisphere) is (2/3) pi r^3  

(2/3) 4^3 pi = (2/3)(64)pi = (128/3) pi  -

The volume of one of the 12 segements is the answer divided by 12

128/36 pi  =( (32/9) pi

i leave the calculator work to you.

7. diameter 4 miles, circumference 4π miles

8. radius 0.2 miles, circumference 0.4π miles

[this is a bad problem because the actual radius of a car on the track is less than 0.2 miles so the answer is less than 0.4π miles]

9. radius 6 feet, circumference 12π feet

10. diameter 14 cm, circumference 14π cm

11. diameter 4.8 feet, circumference 4.8π feet

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