What the volume of a sphere with a diameter of 21.4 dm?​

V ≈ 4577.204 cm^3

Explanation:

Use the volume formula V=4/3πr^3 to find the volume. Since you need the radius but are given the diameter, divide it by 2 to get half.

21.4/2 = 10.7

Now plug that into the formula and solve:

V=4/3πr^3

V=4/3π(10.7)^3

V= 4/3π(1,092.7272)

V=  4/3 * 3432.903

V= 4 * 3432.903/3

V = 13731.614/ 3

V ≈ 4577.204 cm^3 or whatever unit is stated.