The diameter of a Sphere is 4.8 cm
Use 3.14 and round to the nearest thousandth.
A 57.876 cm3
B 463.012 cm3
c 289.382 cm3
d 72.346 cm3
radius = 4.8/2 = 2.4 cm
Volume of a sphere
= 4πr³/3
= 4π(2.4³)/3
= 57.906 cm³ using the exact value of π
There is a serious problem with error calculation and significant figures in this question. The radius is given to 2 significant figures, and π used is accurate to 3 significant figures. The answer requested is accurate to 5 significant figures, of which the last two are incorrect.
I put B for this answer but I was not sure when I rounded it, this would be the closest answer.
The diameter of a Sphere is 4.8 cm, which means that the radius is...
Got it. Thanks MathMate..
Great!
To find the volume of a sphere, you can use the formula:
Volume = (4/3) * π * r³
Given that the diameter of the sphere is 4.8 cm, we can calculate the radius by dividing the diameter by 2:
Radius = Diameter / 2
Radius = 4.8 cm / 2
Radius = 2.4 cm
Now, substitute the value of the radius into the volume formula:
Volume = (4/3) * π * (2.4 cm)³
Volume = (4/3) * 3.14 * (2.4 cm)³
Volume ≈ 4.18879 * 13.824
Volume ≈ 57.87057104 cm³
Rounding this value to the nearest thousandth, we get:
Volume ≈ 57.871 cm³
Therefore, the correct answer is option A: 57.876 cm³.