What is the approximate volume of this sphere, which has a diameter of 18 inches?
A 339 cubic inches
B 1,356 cubic inches
C 3,052 cubic inches
D 24,417 cubic inches
PLZ EXPLAIN THE PROCESS
To find the volume of a sphere, you can use the formula:
V = (4/3) * π * r^3
where V is the volume, π is a mathematical constant approximately equal to 3.14159, and r is the radius (half the diameter) of the sphere.
In this case, the diameter of the sphere is given as 18 inches. To find the radius, divide the diameter by 2:
r = 18 / 2 = 9 inches
Now, substitute the radius into the formula:
V = (4/3) * π * (9 inches)^3
V ≈ (4/3) * 3.14159 * (9 inches)^3
V ≈ 4.18879 * 729 inches^3
V ≈ 3052 cubic inches
Therefore, the approximate volume of the sphere, rounded to the nearest whole number, is 3052 cubic inches. So, the correct answer is C.