Final answer:
The volume of a sphere with a radius of 2 units, using 3.14 for pi, is calculated using the formula V = 4/3 π r³ and rounded to the nearest hundredth to be 33.51 units³.
Step-by-step explanation:
Finding the Volume of a Sphere
To find the volume of a sphere with a given radius, we use the formula Volume = 4/3 π r³, where 'r' represents the radius of the sphere and 'π' is Pi, approximately 3.14. In this case, the radius (r) is 2 units. Let's calculate the volume step by step:
- Write down the formula for the volume of a sphere: V = 4/3 π r³.
- Plug in the value of the radius into the formula: V = 4/3 π (2 units)³.
- Calculate the cube of the radius: 2 units ³ = 8 units³.
- Place this value into the formula: V = 4/3 π x 8 units³.
- Multiply the constants and the cubed radius together: V = 4/3 x 3.14 x 8 units³ = 33.51 units³.
- Round the final answer to the nearest hundredth: Volume = 33.51 units³