Exploring the Surface Area of a Sphere

The video tutorial explains how to find the surface area of a sphere. It begins by introducing the formula S = 4πR² and then identifies the necessary variables, approximating π as 3.14 and determining the radius as 4 cm. The tutorial proceeds with a step-by-step calculation using the order of operations, resulting in a surface area of 200.96 cm². The importance of including units in the final answer is emphasized.

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

• S = 2πr^2

• S = 4πr^2

• S = πr^2

• S = 2πr

What value is used to approximate pi in the calculations?

• 22/7

• 3.142

• 3.14

• 3.14159

What is the radius of the sphere used in the example?

• 3 cm

• 5 cm

• 4 cm

• 6 cm

What is the first step in solving the formula after plugging in the values?

• Add 4 to the radius squared

• Multiply pi by the radius squared

• Square the radius

• Multiply 4 by pi

What mathematical concept is essential to solve the formula correctly?

• Geometric sequences

• Trigonometric identities

• Algebraic expressions

• Order of operations

What do you get when you multiply 4 by the squared radius in the example?

• 128

• 64

• 16

• 32

What property of multiplication is mentioned in the explanation?

• Subtractive

• Commutative

• Distributive

• Associative

What is the final step to find the surface area of the sphere?

• Divide 3.14 by 64

• Subtract 64 from 3.14

• Add pi to 64

• Multiply 3.14 by 64

What is the surface area of the sphere in the example?

• 202.16 cm^2

• 199.86 cm^2

• 200.96 cm^2

• 201.06 cm^2

Why do we use centimeters squared (cm^2) in our final answer?

• Because the radius is measured in centimeters

• Because the formula requires it

• Because the sphere's diameter is given in centimeters

• Because pi is approximated in centimeters