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4 votes
The sphere shown below is placed in a full overflow cup and sinks to the bottom. How much water is displaced by the sphere?Lector inmersivo

(1 Punto)
A. 51.0 mL
Option 2
C. 88.6 mL
D. 407.7 mL
B. 66.5 mL

2 Answers

2 votes

Answer:

A

Explanation:

We are given a diameter of 4.6

4.6 / 2 = 2.3 (radius)

Volume of a sphere [ V = 4/3πr² ]

V = 4/3π(2.3)²

V = 4/3π(5.29)

V = 4/3(38.20438)

V ≈ 51

Best of Luck!

User Rens Jaspers
by
8.5k points
3 votes

Answer:

  • A. 51.0 mL

Explanation:

Given

  • The sphere with the diameter of 4.6

It displaces the amount of water equal to its volume

Volume of the sphere:

  • V = 4/3πr³
  • V = 4/3π(d/2)³ = 1/6πd³
  • V = 1/6*3.14*4.6³ = 50.939 ≈ 51.0 cm³ = 51.0 ml

Correct option is A. 51.0 mL

User Engin
by
8.5k points
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