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.
To find the volume of a sphere, you can use the formula:
Volume = (4/3) * π * r^3
where π is a mathematical constant equal to approximately 3.14, and r is the radius of the sphere.
In this case, we are given the diameter of the basketball, which is 9 inches. The radius is half the diameter, so the radius (r) of the basketball can be calculated as:
r = diameter / 2
Substituting the values, we have:
r = 9 inches / 2 = 4.5 inches
Now we can use the formula to calculate the volume:
Volume = (4/3) * π * (4.5 inches)^3
Calculating further:
Volume = (4/3) * 3.14 * (4.5 inches)^3
Volume = 4.18879 * (4.5 inches)^3
Volume ≈ 4.18879 * (4.5 inches * 4.5 inches * 4.5 inches)
Volume ≈ 4.18879 * (91.125 cubic inches)
Volume ≈ 381.73 cubic inches
Therefore, approximately 381.73 cubic inches of air is needed to fill the basketball.
The formula for the volume of a sphere is V = (4/3)πr^3, where r is the radius.
To use the diameter, we need to first find the radius. The radius is half of the diameter, so in this case, the radius would be 9/2 = 4.5 inches.
Plugging the radius into the formula, we get V = (4/3)π(4.5)^3 = (4/3)π(91.125) = 381.702 cubic inches.
Therefore, approximately 381.7 cubic inches of air is needed to fill the basketball.
wrong
Apologies for the incorrect response.
To find the volume of a sphere with a diameter of 9 inches, we need to find the radius first. The radius is half the diameter, so the radius would be 9/2 = 4.5 inches.
Now we can use the formula for the volume of a sphere: V = (4/3)πr^3.
Plugging in the values, we get: V = (4/3)(3.14)(4.5)^3 = (4/3)(3.14)(91.125) = 381.615 cubic inches.
Therefore, approximately 381.6 cubic inches of air is needed to fill the basketball, rounded to the nearest tenth.