FYKOS Year 29 Series 1 Problem 3 — golden sphere · FYKOS 29 #29.1.3

Physics · mechanics · thermodynamics

Problem

A golden sphere has a mass of

m_{1}=96,25g

while in the air. When sunken into water it is balanced out by a weight with the mass

m_{2}=90,25g

. Determine whether the item is hollow. If it is then determine the volume of the hollow part.The density of gold is

ρ_{Au}=19,25g\cdot \;\mathrm{cm}^{−3}

, density of water

ρ_{H_{2}O}=1,000g\cdot \;\mathrm{cm}^{−3}

. The graviational acceleration is

g=9,81\;\mathrm{m}\cdot \mathrm{s}^{−2}