179k views
1 vote
The volume of a sphere is 4851 cubic cm find its diameter​

1 Answer

0 votes

Answer:

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

User Sonam Daultani
by
5.9k points
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.