the volume of a sphere is 4851 cm^3. how should its radius be reduced so that its volume becomes 4312/2 cm^3
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Solution:
volume of sphere = 4/3 Π r³
A/Q => 4/3 Π r³ = 4851
=> r³ = 1157.625
=> r = 10.5 cm
smaller sphere
=> 4/3 ΠR³ = 4312/2
=> ΠR³ = 1617
=> R³ = 514.9
=> R = 8.005 cm (approx)
Thus, Radius should be reduced = r - R
= 10.5 - 8.005 = 2.495 = 2.5 cm
________________
Amrit⭐
volume of sphere = 4/3 Π r³
A/Q => 4/3 Π r³ = 4851
=> r³ = 1157.625
=> r = 10.5 cm
smaller sphere
=> 4/3 ΠR³ = 4312/2
=> ΠR³ = 1617
=> R³ = 514.9
=> R = 8.005 cm (approx)
Thus, Radius should be reduced = r - R
= 10.5 - 8.005 = 2.495 = 2.5 cm
________________
Amrit⭐
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