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Vesnalui [34]
3 years ago
5

A sphere with a diameter of 30 inches is placed in a cube. The sphere touches the lateral faces

Mathematics
1 answer:
Nina [5.8K]3 years ago
5 0

Answer:

a) 30 inches × 30 inches × 30 inches

b) 27,000 inches³

c) 14,130 inches³

d) 12,870 inches³

Step-by-step explanation:

Edge of the cube = diameter = 30 inches

Volume of cube = s³

30³ = 27000 inches³

Radius = 30/2 = 15

Volume of sphere:

(4/3) × 3.15 × 15³

14130 inches³

Difference:

27000 - 14130

12870 inches³

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