Finding the Radius of a Sphere from Volume

The video tutorial explains how to find the radius of a sphere given its volume. It starts by introducing the problem and setting up the volume formula for a sphere. The tutorial then demonstrates how to solve for the radius by isolating it in the equation, using algebraic manipulation. The final steps involve calculating the radius by taking the cube root of the simplified equation. The tutorial concludes with a summary of the process, emphasizing the algebraic techniques used.

What is the first step in solving for the radius given the volume of a sphere?

• Isolate the radius variable

• Multiply by the reciprocal of the fraction

• Take the cube root

• Divide by pi

What mathematical operation is used first to start solving for the radius?

• Multiplying by the reciprocal of 4/3

• Squaring the volume

• Dividing by pi

• Taking the cube root

What operation is performed to cancel out the fraction in the volume formula?

• Subtraction

• Addition

• Division by the reciprocal

• Multiplication by the reciprocal

After simplifying the equation, what is the next step to isolate the radius?

• Multiply by pi

• Divide by pi

• Subtract pi from both sides

• Add pi to both sides

What is the result after dividing 54 by pi in the process of finding the radius?

• 2.58

• 54

• 17.9

• 72

How do you undo the cubing operation to solve for the radius?

• Square root

• Cube root

• Multiply by 3

• Divide by 3

What is the approximate value of the radius of the sphere?

• 72 meters

• 17.9 meters

• 54 meters

• 2.58 meters