two solids spheres of same metal weigh 5920 grams and 740 grams respectively .find the radius of the largest sphere if the diameter of the smaller one is 5 cm
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same metal of sphere means same density of sphere
now
let d is the density of sphere
volume =mass/density
4/3pi.(5cm)^3=740/density
density=740/(4/3pi.125)
now volume of big sphere=mass/density
4/3pi. R^3=5920/density
4/3pi.R^3 x740/(4/3pi.125)=5920
R^3/125=5920/740
R^3=8x125
R=2x5cm
=10cm
now
let d is the density of sphere
volume =mass/density
4/3pi.(5cm)^3=740/density
density=740/(4/3pi.125)
now volume of big sphere=mass/density
4/3pi. R^3=5920/density
4/3pi.R^3 x740/(4/3pi.125)=5920
R^3/125=5920/740
R^3=8x125
R=2x5cm
=10cm
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