149k views
0 votes
In order to find the volume of a sphere with a radius of r, do you need to cube a number or find a cube root? Explain.

User Hart CO
by
7.8k points

1 Answer

4 votes

Final answer:

To calculate the volume of a sphere, you must cube the radius and then multiply by 4/3 π. The volume formula for a sphere is V = 4/3 π r³. No cube root is involved in this calculation.

Step-by-step explanation:

To find the volume of a sphere with a radius of r, you need to cube the radius. The formula for the volume of a sphere is given as V = 4/3 π r³, where V represents the volume and r is the radius of the sphere. Thus, the calculation involves cubing the radius (raising r to the power of 3) and then multiplying the result by 4/3 π.

For example, if you have a sphere with a radius of 2 units, you would calculate the volume by doing the following: V = 4/3 π (2)³ = 4/3 π (8) = 32/3 π, which gives you the volume of the sphere in cubic units.

It is important not to confuse this with finding a cube root, which is the inverse operation used for determining the edge length of a cube when the volume is known. The cube root would be used in a different context, such as solving for the radius if the volume of the sphere is given.

User Ivan Wang
by
7.6k points