Surface Area of a Sphere

The video tutorial explains how to find the surface area of a sphere with a given diameter. It starts by introducing the formula for surface area and explains the relationship between diameter and radius. The tutorial then demonstrates the calculation of surface area using the formula, leaving the answer in terms of Pi. Finally, it shows how to convert the surface area into a decimal approximation, rounding to two decimal places.

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

• 4πr²

• 2πr

• πr²

• 4/3πr³

Tags

CCSS.7.G.B.4

If the diameter of a sphere is 14 meters, what is its radius?

• 3.5 meters

• 7 meters

• 14 meters

• 28 meters

Tags

CCSS.7.G.B.4

How do you calculate the radius of a sphere from its diameter?

• Divide the diameter by 2

• Square the diameter

• Take the square root of the diameter

• Multiply the diameter by 2

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

What is the surface area of a sphere with a radius of 7 meters in terms of Pi?

• 98π square meters

• 392π square meters

• 196π square meters

• 49π square meters

Tags

CCSS.7.G.B.4

What is the first step in simplifying the expression for the surface area of a sphere?

• Multiply the radius by 4

• Square the radius

• Multiply the radius by Pi

• Divide the radius by 2

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

What is the approximate decimal value of the surface area of the sphere?

• 615.75 square meters

• 196.00 square meters

• 314.16 square meters

• 123.45 square meters

Tags

CCSS.5.NBT.A.4

When rounding the decimal approximation of the surface area, which place value is considered?

• Hundredth

• Tenth

• Thousandth

• Whole number

Tags

CCSS.5.NBT.A.4