In the diagram the sphere touches each face of the cube at one point-the center of each face. if each side of the cube is 7cm, w
hat is a reasonable estimate for the unoccupied volume of the cube?
a: 120cm3
b: 140cm3
c: 160cm3
d: 180cm3
1 answer:
Answer:
C
Step-by-step explanation:
Te unoccupied volume (V) of the cube is calculated as
V = volume of cube - volume of sphere
= 7³ - 
πr³ ( r is the radius and r = 7 ÷ 2 = 3.5 )
= 343 - π × 3,5³
= 343 - π × 42.875
= 343 - 179.59438
= 163.4....
≈ 160 cm³ ( to the nearest 10 cm³ )
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