When fully inflated, a blue exercise ball has a diameter of 56 cm. A similar red exercise ball, when fully inflated, has a diameter of 76 cm. Which statement is true?(1 point)
Responses
The volume of the blue ball is about 2.5 times larger than the volume of the red ball.
The volume of the red ball is about 2.5 times larger than the volume of the blue ball.
The volume of the red ball is about 1.5 times larger than the volume of the blue ball.
The volume of the blue ball is about 1.5 times larger than the volume of the red ball.
The volume of the blue ball is about 2.5 times larger than the volume of the red ball.
This statement is true because volume is proportional to the cube of the diameter of the ball. So, by dividing the volume of the blue ball by the volume of the red ball, we get (56/76)^3 = (7/19)^3 = 343/6859, which is approximately 0.05. Therefore, the volume of the blue ball is about 2.5 times larger than the volume of the red ball.