Surface Area and Volume Word Problems of Cones Spheres Cylinders

A paper party hat, has a slant height of 6 inches and a height of 5 inches. How many square feet of poke-dot paper would be needed to create this hat?

• 62.5 in.²

• 10 in.²

• 50 in.²

• 22.5 in.²

It is snowing and salt trucks are dumping a mixture to help. When the mixture is dumped from a truck, it forms a mound with a conical shape. If the mound has a diameter of 15 feet and a height of 10 feet, how much salt-sand mixture is there?

• 1,767 ft³

• 7,068.5 ft³

• 589 ft³

• 4,417.9 ft³

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CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

The height of a cone is equal to two times the radius of the base. If the base has an area of 25π, what is the volume of the cone?

• 83.3π
• 250π
• 10
• 5

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CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

If a hemisphere has V=18π, what is the value of the radius?

• 3
• 13.5
• 54
• 108

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

If a cone has V = 602 cm^3 and a height of 36, what is the value of the radius?

• 4
• 16.7
• 50.2
• 16

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Sarah needs a PVC cylinder pipe with a diameter of 10 inches and a height of 2 inches, how much material is needed to make 5 pipes?

• 62.8 inches ²

• 219.8 inches ²

• 314 inches ²

• 422 inches ²

A table tennis ball has a diameter of 40 mm. What is the approximate volume of the table tennis ball in cubic millimeters?

• 1,676 mm³
• 18,850 mm³
• 33,510.3 mm³
• 268,083 mm³

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Kayla has two spherical balls in her yard (see picture).Which statement about their volumes is true?

• The volume of Ball 2 is twice the volume of Ball 1.
• The volume of Ball 1 is 8 times the volume of Ball 2.
• The volume of Ball 1 is twice the volume of Ball 2.
• The volume of Ball 2 is 8 times the volume of Ball 1.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

A rancher wants to cut a metal cylinder in half to use as a watering trough as shown.
If the cylinder has a diameter of 5 feet and a length of 9 feet, which value is closest to the volume of the trough in cubic feet? Use π = 3.14.

• 176.6 ft³
• 141.3 ft³
• 88.3 ft³
• 70.7 ft³

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Calculate the amount of ice cream this cone can hold (just to the top of the cone) . Round to the nearesthundredth.

• 58.29 cm²

• 58.29 cm³

• 233.15 cm²

• 233.15 cm³

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3