Volume and Surface Area of a Sphere

The video tutorial explains how to find the volume of a sphere given its surface area. It starts by introducing the problem and then explains the formula for the surface area of a sphere. The tutorial guides through the process of finding the radius using the given surface area and then uses this radius to calculate the volume of the sphere. The final steps involve simplifying the calculations to arrive at the volume in cubic centimeters.

What is the initial problem presented in the video?

• Determining the circumference of a sphere

• Calculating the diameter of a sphere

• Finding the volume of a sphere given its surface area

• Finding the surface area of a sphere

What is the formula for the surface area of a sphere?

• 4/3 π r³

• 2 π r

• 4 π r²

• π r²

What value is substituted for π in the calculations?

• 3.14159

• 3.14

• 3.1

• 3.1416

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

• 225 cm²

• 100 cm²

• 2826 cm²

• 314 cm²

What is the first step in the video to solve the problem?

• Measure the sphere

• Find the diameter

• Write the formula for surface area

• Calculate the volume

What is the first step in finding the radius of the sphere?

• Substitute the value of π

• Calculate the volume

• Find the diameter

• Rearrange the surface area formula

How is 3.14 expressed as a fraction in the video?

• 3140/1000

• 3/14

• 31/4

• 314/100

What is the value of r² after simplification?

• 225

• 100

• 25

• 9

What is the radius of the sphere after finding r?

• 20 cm

• 10 cm

• 25 cm

• 15 cm

What mathematical operation is used to find the radius from r²?

• Addition

• Subtraction

• Multiplication

• Square root