Use the formula for the volume olla 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 3 ,260.11 ln.^ 3
O 115.55 ln.^ 3
O 1.22 * 0.54 ln^ 2
407.51 ln.^ 3
For connexus quick check the answers are..
1.407.51 in^3
2.7.78 pi yds^3
3.381.5 in^3
4.2,325.3mm^3
5.9,682 in^3
i just finished it, i hope i was able to help you guys out :)
Thank you for providing the answers. It seems that the correct answer for the volume of a basketball with a diameter of 9.2 inches is 407.51 in^3, which matches option 1.
@pinkhearts4you is correct thank you so much!
The formula for the volume of a sphere is given by V = (4/3) * π * r^3, where r is the radius of the sphere.
Since the basketball has a diameter of 9.2 inches, the radius would be half of that, which is 4.6 inches.
Now we can substitute this value into the formula:
V = (4/3) * 3.14 * (4.6^3)
V ≈ 4.18879 * 3.14 * (97.336)
V ≈ 4.18879 * 305.55584
V ≈ 1279.88269
Rounding to the nearest hundredth, the volume of the basketball is approximately 1279.88 cubic inches.
Thank you sm!!!
To find the volume of a sphere, we can use the formula: V = (4/3)πr³, where V is the volume and r is the radius of the sphere. However, in this problem, we are given the diameter of the basketball, which is 9.2 inches. To use the formula, we need to convert the diameter to the radius.
The radius (r) is half of the diameter (d), so we divide the diameter by 2:
r = 9.2 inches / 2 = 4.6 inches
Now, we can substitute the value of the radius into the formula:
V = (4/3)(3.14)(4.6³)
To simplify the calculation, let's solve each part separately:
r³ = 4.6³ = 97.336
(4/3)(3.14) = 4.18667 (rounded to five decimal places)
Now, substitute the values into the formula:
V ≈ 4.18667 × 97.336
Using a calculator, multiply the two numbers to get the volume:
V ≈ 407.51048 (rounded to five decimal places)
Finally, round the answer to the nearest hundredth:
V ≈ 407.51 cubic inches
Therefore, the volume of the basketball is approximately 407.51 cubic inches.