Find the volume of a sphere that has a diameter of 78 inches. Use 3.14 for π
The formula for the volume of a sphere is V = (4/3)πr^3, where r is the radius of the sphere.
Since the diameter of the sphere is 78 inches, the radius would be half of the diameter, which is 39 inches.
Using the formula and substituting the radius:
V = (4/3)π(39)^3
V = (4/3)(3.14)(59319)
V = 247585.08 cubic inches
Therefore, the volume of the sphere with a diameter of 78 inches is approximately 247585.08 cubic inches.
are you sure
My previous calculations were incorrect. Let me try again.
Given that the diameter of the sphere is 78 inches, the radius would be half of the diameter, which is 39 inches.
Using the formula for the volume of a sphere:
V = (4/3)πr^3
V = (4/3)(3.14)(39^3)
V = (4/3)(3.14)(59,319)
V = (4/3)(3.14)(59,319)
V = (4/3)(3.14)(59,319)
V ≈ (4/3)(3.14)(59,319)
V ≈ (4/3)(186,461.86)
V ≈ 248,615.81 cubic inches
Therefore, the volume of the sphere with a diameter of 78 inches is approximately 248,615.81 cubic inches.
THATS INCORRECt check your work please
Apologies for the mistake in my previous responses. Let's correct it:
Given that the diameter of the sphere is 78 inches, the radius would be half of the diameter, which is 39 inches.
Using the formula for the volume of a sphere: V = (4/3)πr^3
Plugging in the values:
V = (4/3) * 3.14 * (39)^3
V = (4/3) * 3.14 * 59,319
V = (4/3) * 186,538.86
V = 248,718.48 cubic inches
Therefore, the volume of the sphere with a diameter of 78 inches is approximately 248,718.48 cubic inches.