What am I doing wrong?: Buoyancy of an Object Homework Question

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Homework Help Overview

The problem involves determining the density of a liquid in which a sphere is neutrally buoyant. The sphere has a specified diameter and mass, and the discussion centers around the application of buoyancy principles and volume calculations.

Discussion Character

  • Exploratory, Assumption checking, Mathematical reasoning

Approaches and Questions Raised

  • Participants discuss the relationship between buoyancy, mass, and volume, with attempts to derive the density of the liquid using the formula for buoyancy. There are questions regarding the correctness of the volume formula used for the sphere.

Discussion Status

The discussion is ongoing, with participants expressing frustration over the inability to identify the error in the calculations. Some guidance has been offered to double-check the volume formula, indicating a potential area for clarification.

Contextual Notes

Participants are working under the constraints of a homework assignment, which may limit the information they can share or the methods they can use. There is an emphasis on understanding the correct application of formulas related to buoyancy and density.

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Homework Statement



A 7.56 cm diameter sphere with a mass of 137.1 g is neutrally buoyant in a liquid. What is the density of the liquid?

Homework Equations



B-mg=0
B=V*density*g

The Attempt at a Solution



B=mg
V*density*g=mg
denisty=M/V
denisty= .1371 kg/(4/3*PI*r^2) because its a sphere

What am I doing wrong?
 
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any ideas? It seems easy but it is not turning out correct.
 
talaroue said:
B=mg
V*density*g=mg
denisty=M/V
denisty= .1371 kg/(4/3*PI*r^2) because its a sphere
Double-check that volume formula.
 

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