as ball has a radius 3 times larger than bs as ball has a vo

a\'s ball has a radius 3 times larger than b\'s. a\'s ball has a volume of 972 pi cubic inches what is the volume of b\'s ball

Solution

let radius of a\'s ball =r

a\'s ball has a radius 3 times larger than b\'s ==>radius of b\'s ball = 3r

volume of a\'s ball =(4/3)r³ =972 in³

volume of b\'s ball =(4/3)(3r)³

=(4/3) 27(r)³

=27*(4/3) (r)³

=27*972 in³

=26244 in³

volume of b\'s ball =26244 in³