Question

The diameter, D, of a sphere is 9.2mm. Calculate the sphere's volume, V. Use the value 3.14 for pi, and round your answer to the nearest tenth. (Do not round any intermediate computations.)

Answer 1

The formula for the volume of a sphere is:

V = (4/3)πr³

where D is the diameter, which is twice the radius (r). So we can calculate the radius as:

r = D/2 = 9.2mm/2 = 4.6mm

Now we can substitute the value of r into the formula for the volume:

V = (4/3)πr³ = (4/3)π(4.6mm)³ = 487.9mm³

Rounding this answer to the nearest tenth gives:

V ≈ 487.9mm³ ≈ 487.8mm³

Therefore, the volume of the sphere is approximately 487.8 cubic millimeters.