Volume of Spheres Quick Check
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)
O 1 ,222.51 ln.^ 3
O 407.51 in.
O 3 ,260.11 ln.^ 3
O 115.55 ln^ 1
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 9.2 inches, we can find the radius by dividing the diameter by 2:
r = 9.2 / 2 = 4.6 inches
Now we can plug in the value of the radius into the volume formula:
V = (4/3)(3.14)(4.6^3)
Calculating this expression, we get:
V = (4/3)(3.14)(97.336)
V = 407.49 in.^3
Rounded to the nearest hundredth, the volume of the basketball is approximately 407.49 in.^3.
Therefore, the correct answer is:
407.51 in.