Exploring Surface Area and Volume of Spheres

What defines the radius of a sphere?

• The distance from the center to any point on the sphere

• The longest line that can be drawn inside the sphere

• The perimeter of the sphere

• The distance around the sphere

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

• 2 PI r

• PI r squared

• 4 PI r squared

• 4/3 PI r cubed

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How do you calculate the volume of a sphere?

• 2 PI r cubed

• 4 PI r squared

• 4/3 PI r cubed

• 4/3 PI r squared

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CCSS.8.G.C.9

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Given a circumference of 26.7 inches, what is the radius of the sphere?

• 4.249 inches

• 13.35 inches

• 8.498 inches

• 2.124 inches

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What is the surface area of a bowling ball with a radius of 4.249 inches?

• 572 inches squared

• 321 inches squared

• 643 inches squared

• 227 inches squared

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CCSS.8.G.C.9

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What additional area must be calculated for a hemisphere's surface area?

• The base's circumference

• The base's diameter

• The base's area

• The lateral surface area

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CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

What is the total surface area of the hemisphere example, in terms of PI?

• 72 PI square centimeters

• 108 PI square centimeters

• 144 PI square centimeters

• 36 PI square centimeters

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CCSS.8.G.C.9

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How is the volume of a hemisphere calculated from the sphere's volume formula?

• By dividing the sphere's volume formula by 2

• By squaring the sphere's volume formula

• By doubling the sphere's volume formula

• By multiplying the sphere's volume formula by 1/2

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CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Given a volume of 7776 PI meters cubed, what is the radius of the sphere?

• 9 meters

• 36 meters

• 54 meters

• 18 meters

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CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

What is the surface area of a sphere with an 18-meter radius?

• 1024 PI meters squared

• 1296 PI meters squared

• 648 PI meters squared

• 324 PI meters squared

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CCSS.8.G.C.9

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