Question

The diameter, D, of a sphere is 8.6 cm . Calculate the sphere's volume, V .

Use the value 3.14 for π , and round your answer to the nearest tenth. (Do not round any intermediate computations.)

Answer 1

The volume of a sphere can be calculated using the formula:
V = 4/3 * π * r^3
where r is the radius of the sphere.

Given the diameter of the sphere, we can find the radius by dividing the diameter by 2:
r = D/2
r = 8.6 cm / 2
r = 4.3 cm

Substituting the value of r into the formula for the volume of a sphere:
V = 4/3 * π * 4.3^3
V = 4/3 * 3.14 * 4.3^3
V = 4/3 * 3.14 * 63.489
V = 4 * 63.489 * 3.14 / 3
V = 201.06933333

Rounding to the nearest tenth, the volume of the sphere is:
V = 201.1 cm^3