To find the volume of a sphere, you can use the formula V = (4/3)πr^3, where r is the radius of the sphere.
Given that the diameter of the basketball is 9 inches, we can find the radius by dividing the diameter by 2.
Radius (r) = 9 / 2 = 4.5 inches
Now substitute the value of the radius into the formula:
V = (4/3) * 3.14 * (4.5)^3
V = (4/3) * 3.14 * 91.125
V = 381.45 inches cubed
Rounded to the nearest tenth, the amount of air needed to fill a basketball with a 9-inch diameter is approximately 381.5 inches cubed.
Therefore, the correct answer is:
381.5 in.3
Use the formula for the volume of a sphere to solve the following problem.
How much air is needed to fill a basketball with a diameter of 9 inches? Use 3.14 as an approximation for pi. Round your answer to the nearest tenth.
(1 point)
Responses
3,052.1 in.3
3,052.1 inches cubed
113 in.3
113 inches cubed
190.8 in.3
190.8 inches cubed
381.5 in.3
1 answer