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