Calculating Surface Area of Spheres

This video tutorial covers the surface area of spheres, starting with the basic formula and progressing through several examples. It explains how to calculate the surface area of a single sphere, the total surface area of multiple spheres, and how to find the radius from given dimensions. The tutorial concludes with a real-world application by calculating the Earth's surface area and determining the land coverage. Key concepts include understanding the formula 4πr², converting measurements, and applying these calculations to practical scenarios.

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

• 2 PI R squared

• 4 PI R squared

• PI R squared

• 2 PI R

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CCSS.8.G.C.9

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If the radius of a sphere is 35 units, what is the approximate surface area?

• 16000 units squared

• 14000 units squared

• 12000 units squared

• 15393 units squared

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CCSS.8.G.C.9

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

• Multiply the diameter by 2

• Square the diameter

• Divide the diameter by 2

• Multiply the diameter by PI

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CCSS.7.G.B.4

What is the total surface area of four spheres if their radii are 12, 4.5, 4, and 4.5 units respectively?

• 3000 units squared

• 2000 units squared

• 2519.557 units squared

• 3500 units squared

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CCSS.8.G.C.9

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If a character is 6 feet 3 inches tall, what is his height in feet?

• 6.5 feet

• 7 feet

• 6.25 feet

• 6.75 feet

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CCSS.5.MD.A.1

What is the surface area of a sphere if its radius is 14.0625 feet?

• 2400 units squared

• 2485.049 units squared

• 2500 units squared

• 2600 units squared

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CCSS.8.G.C.9

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How is the Earth's radius calculated from its circumference?

• Multiply the circumference by 2 PI

• Divide the circumference by 2 PI

• Multiply the circumference by PI

• Divide the circumference by PI

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CCSS.7.G.B.4

What is the approximate surface area of the Earth in square miles?

• 197 million square miles

• 100 million square miles

• 50 million square miles

• 200 million square miles

What percentage of the Earth's surface is covered by water?

• 71%

• 80%

• 65%

• 75%

How many square miles of land are there on Earth?

• 57 million square miles

• 60 million square miles

• 70 million square miles

• 50 million square miles

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CCSS.3.MD.C.5A