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5 votes
The volume of two spheres is shown:

Sphere A = 30 cubic inches
Sphere B = 10 cubic inches
How many inches more is the radius of sphere A than the radius of
sphere B? Round your answer to the nearest tenths. (Use TT= 3.14.) (1
point)
0
0.6 inch
1.3 inches
1.9 inches
0
20.0 inches
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2 Answers

3 votes

Answer: 20.0 inches

Explanation:

User Shawn Grigson
by
4.5k points
5 votes

Answer:

0.6 in

Explanation:

  • Volume of the sphere formula: V = 4/3πr³, where r is the radius

Given:

  • Volume of Sphere A = 30 cubic inches
  • Volume of Sphere B = 10 cubic inches

Let R be the radius of sphere A and r be the radius of sphere B

  • 30 = 4/3*3.14R³
  • R³ = 30*3/(4*3.14) ≈ 7.2
  • R = ∛7.2 ≈ 1.9 in

And, similarly,

  • r³ = 10*3/(4*3.14) ≈ 2.4
  • r = ∛2.4 ≈ 1.3 in

The difference:

  • R - r = 1.9 - 1.3 = 0.6 in

User Randym
by
4.7k points