Answer:
220,781.25 cubic cm
Step-by-step explanation:
Given ratio of the diameters = 15:11
Let the actual value of of diameters be 15x and 11x to maintain the ratio of 15:11
Given that smaller one has diameter of 55cm
thus 11x = 55cm
x = 55/11 cm = 5
Thus, diameter of larger ball = 15xcm= 15*5cm =75cm.
we know that radius is half of diameter
Radius = diameter/2
Thus radius of larger ball = 75/2 cm = 37.5 cm.
Volume of sphere is given by
we know that ball has spherical shape
thus volume of larger ball is calculated as given below
Thus, volume of larger ball is 220,781.25 cubic cm