The diameter of a sphere is 21.6 cm. what is the sphere's volume? round to the nearest tenth, if necessary. a) 693.2 cm3 b) 1453.8 cm3 c) 1868.5 cm3 d) 5276.7 cm3 (will give brainliest

The formula for the volume of a sphere is:

V = 4/3 * PI * r^3

The diameter is given as 21.6, divide this by 2 for the radius:

R = 21.6 / 2 = 10.8

V = 4/3 * PI * 10.8^3

V = 5276.7 cm^3

The answer is D

D) 5276.7 cm3

Step-by-step explanation:

Volume of a sphere is given by

V = 4/3 *pi*r^3

We are given the diameter.  The diameter is twice the radius

d =2r

21.6 = 2*r

21.6/2 = 2r/2

10.8 =r

Now we can find the volume,

V = 4/3 * pi *(10.8)^3

V =5276.669286

(n^3 - n)

= n(n-1)(n+1)

since it is divisible by 3 and 2 ,because it is a multiple 3 consecutive number

if, n-1 is odd then n+1 is also odd, then it is a multiple of 9

but if, n-1 is even then n+1 is also even, then it is a multiple of 4

so, largest multiple = max(9*2, 4*3) = max(18, 12) = 18