Understanding Surface Area and Radius of a Sphere

The video tutorial explains how to find the radius of a sphere given its surface area. It starts by introducing the problem and setting up the equation using the surface area formula. The tutorial then demonstrates how to solve the equation algebraically to find the radius, emphasizing the importance of understanding the solution and avoiding common mistakes. The final answer is approximated, and the tutorial concludes by highlighting the correct answer and common distractors.

What is the given surface area of the sphere in the problem?

• 20 Pi

• 30 Pi

• 50 Pi

• 40 Pi

Which formula is used to calculate the surface area of a sphere?

• 2 Pi r

• 4 Pi r^2

• 3 Pi r^2

• Pi r^2

What is the first step in solving for the radius after substituting the surface area?

• Subtract 4 Pi

• Multiply by Pi

• Add 4 Pi

• Divide by 4 Pi

What is the approximate value of the square root of 10?

• 3.25

• 3.20

• 3.16

• 3.10

Why is the answer not simply 10 when solving for the radius?

• Because 10 is the diameter

• Because 10 is the surface area

• Because 10 is the circumference

• Because 10 is the square of the radius