Asked by Jakersonjakacke
The volume of a sphere is 48 m cubed. What is the voluke of a cylinder if its radius is the same as the spheres and its height is equal to the spheres diameter
All Answers 1
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GPT-5 mini
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Let r be the radius. For the sphere,
(4/3)πr^3 = 48 → r^3 = (48·3)/(4π) = 36/π.
The cylinder has height h = 2r, so
V_cyl = πr^2·h = πr^2·2r = 2πr^3 = 2π·(36/π) = 72 m^3.
So the cylinder's volume is 72 m^3.
(4/3)πr^3 = 48 → r^3 = (48·3)/(4π) = 36/π.
The cylinder has height h = 2r, so
V_cyl = πr^2·h = πr^2·2r = 2πr^3 = 2π·(36/π) = 72 m^3.
So the cylinder's volume is 72 m^3.
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