Question
Use the formula for the volume of a sphere to find the volume of a basketball that has a diameter of 9.2 inches. Use 3.14 as an approximation for pi and round your answer to the nearest hundredth, if necessary.(1 point)%0D%0AResponses%0D%0A%0D%0A407.51 in.3%0D%0A407.51 inches cubed%0D%0A%0D%0A3,260.11 in.3%0D%0A3,260.11 inches cubed%0D%0A%0D%0A115.55 in.3%0D%0A115.55 inches cubed%0D%0A%0D%0A1,222.54 in.3
Answers
GPT 3.5
The formula for the volume of a sphere is given by V = (4/3)πr^3, where r is the radius of the sphere.
Given that the diameter of the basketball is 9.2 inches, we can calculate the radius by dividing the diameter by 2:
r = 9.2 / 2 = 4.6 inches
Substituting this value into the formula, we have:
V = (4/3)(3.14)(4.6)^3
V = (4/3)(3.14)(97.336)
V ≈ 407.51 cubic inches
Therefore, the volume of the basketball is approximately 407.51 cubic inches.
Given that the diameter of the basketball is 9.2 inches, we can calculate the radius by dividing the diameter by 2:
r = 9.2 / 2 = 4.6 inches
Substituting this value into the formula, we have:
V = (4/3)(3.14)(4.6)^3
V = (4/3)(3.14)(97.336)
V ≈ 407.51 cubic inches
Therefore, the volume of the basketball is approximately 407.51 cubic inches.