Understanding Volume and Surface Area of Spheres

The video tutorial covers solving word problems related to spheres, focusing on calculating volume from diameter and finding radius from surface area. It emphasizes the importance of using formulas correctly, such as cubing the radius for volume and working backwards from surface area to find the radius. The tutorial also highlights common mistakes and provides tips for approximating square roots.

What is the first step when solving a word problem involving volume?

• Guess the answer

• Write down the formula

• Use a calculator immediately

• Look for the answer in the options

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CCSS.7.G.B.4

If a sphere has a diameter of 8 inches, what is its radius?

• 8 inches

• 4 inches

• 2 inches

• 16 inches

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CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

What is the formula for the volume of a sphere?

• v = 4/3 pi radius squared

• v = 4/3 pi radius cubed

• v = 2 pi radius cubed

• v = pi radius squared

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CCSS.7.G.B.4

What is a common mistake when calculating the volume of a sphere?

• Using the diameter instead of the radius

• Using the wrong formula

• Forgetting to cube the radius

• Forgetting to square the radius

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CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

How do you find the radius from the surface area of a sphere?

• Multiply the surface area by pi

• Divide the surface area by 4pi and take the square root

• Cube the surface area

• Subtract pi from the surface area

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CCSS.8.NS.A.2

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

• 3.16

• 3.14

• 3.10

• 3.00

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CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Why is 10 not the correct answer for the radius in the surface area problem?

• Because it is not a whole number

• Because it is too small

• Because it is too large

• Because it is not an approximation

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CCSS.8.G.C.9

CCSS.HSG.GMD.A.3