B: The red ball has a volume 2.5 x greater than the blue ball
Explanation:
The volume of a sphere is given by the formula V = (4/3)πr^3, where r is the radius of the sphere.
For the blue ball, the diameter is 56 cm, so the radius is 28 cm. Therefore, the volume of the blue ball is V_blue = (4/3)π(28)^3 ≈ 71741.52 cm^3.
For the red ball, the diameter is 76 cm, so the radius is 38 cm. Therefore, the volume of the red ball is V_red = (4/3)π(38)^3 ≈ 238761.04 cm^3.
Therefore, the ratio of the volume of the red ball to the volume of the blue ball is V_red / V_blue ≈ 238761.04 / 71741.52 ≈ 3.33.
Therefore, the red ball has a volume approximately 2.5 times greater than the blue 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
A: The red ball has a volume 1.5 x greater than the blue ball
B: The red ball has a volume 2.5 x greater than the blue ball
C: The blue ball is bigger than the red ball
1 answer