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volume of the cuboid = volume of the sphere
given the dimensions of the cuboid is 49cm × 33cm × 24cm
it's volume = 49 × 33 × 24
= 38808cm³
therefore volume of the sphere is also 38808cm³
formula for the volume of a sphere is 4/3πr³
=> 4/3πr³ = 38808cm³
=> 4/3 × 22/7 × r³ = 38808cm³
=> 88/21 × r³ = 38808cm³
=> r³ = 38808/1 × 21/88
=> r³ = 441 × 21
=> r³ = 9261
=> r = ³√9261
=> r = 21cm
hence, the radius of the sphere is 21cm.
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