The volume of the blue ball is about 1.5 times larger than the volume of the red ball.
Explanation: The volume of a sphere is given by V = (4/3)πr^3, where r is the radius. Since the diameter of the blue ball is 56 cm, its radius is 28 cm. The volume of the blue ball is V_blue = (4/3)π(28)^3.
Similarly, the diameter of the red ball is 76 cm, so its radius is 38 cm. The volume of the red ball is V_red = (4/3)π(38)^3.
To find the ratio of the volumes, we can calculate V_blue/V_red = [(4/3)π(28)^3] / [(4/3)π(38)^3] = (28/38)^3 ≈ 0.93^3 ≈ 0.8
Therefore, the volume of the blue ball is about 1.5 times larger than the volume of the red ball.
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?
(2 points)
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 1.5 times larger than the volume of the blue ball.
The volume of the red ball is about 2.5 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.
1 answer