Question

The volume of a sphere is 4851 cubic cm find its diameter​

Answer 1

The diameter is 21 cm

Explanation:

The formula for the volume of a sphere is V = (4/3)πr³, or (in terms of the diameter) V = (4/3)π(d/2)³. This simplifies to

4πd³ πd³

V = ----------- = -----------

3·8 6

Now equate V = (πd³/6) to 4851 cm³. We must first solve this for d³ and then take the cube root of the result:

πd³ = 4851(6) = 29106.

Dividing this result by π yields 9264.7,

and taking the cube root of this is 21. The diameter is 21 cm