Spheres and Cones

A paper party hat, like the one shown, has a slant height of 6 inches and a height of 5 inches. How many square feet of cardboard would be needed to create this hat? THINK ABOUT WHAT PART OF THE CONE HAS MATERIAL.

• 62.5 in.²

• 10 in.²

• 50 in.²

• 22.5 in.²

Lucas found a punctured bouncy ball in his basement. He wants to know how much air used to fill up the entire ball. The diameter of the ball is 6 in. Find the volume. Use 3.14 for π.

• 113 in³

• 345.7 in³

• 904.3 in³

• 589 in³

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

When a sphere has a volume of 972π, what is the radius of the sphere?

• 9

• 7

• 18

• 21

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CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

What is the Slant Height of this cone?

• 6.0 in

• 6.4 in

• 6.7 in

• 7.2 in

Mike has a large plastic cup that he is going to fill with water. The plastic cup is in the shape of a cone as shown. Which is closest to the volume of Mike’s cup?

• 21 cubic inches

• 63 cubic inches

• 66 cubic inches

• 198 cubic inches

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Find the Volume of the Cone

• 150.72 cm³

• 75.36 cm³

• 452.16 cm³

• 151 cm³

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Find the volume of the Sphere

• 78.5 m³

• 392.5 m³

• 523.6 m³

• 62.8 cm³

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Find the volume to the nearest hundredth using 3.14 instead of Pi.

• 12.56 ft³

• 37.68 ft³

• 18.84 ft³

• 6.28 ft³

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Find the volume of the sphere. 

• 972π 

• 729π

• 108π

• 2,916π

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Find the volume to the nearest whole number using 3.14 instead of Pi.

• 151 ft³

• 152 ft³

• 150 ft³

• 150.72 ft³

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3