Surface Area & Volume of Cones

Sketch the solid that can be created from the net. Label the dimensions.

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Tags

CCSS.6.G.A.4

What is surface area? Round to the nearest hundredth. Use 3.14 for π.

• 1339.73

• 1003.36

• 320.78

• 742.04

Tags

CCSS.5.NBT.A.4

CCSS.5.NBT.B.7

A paper party hat, like the one shown, has a slant height of 6 inches and a radius of 5 inches. How many square inches of cardboard would be needed to create this hat? Use 3.14 for π.

• 94.2 in.²

• 172.79 in.²

• 50 in.²

• 22.5 in.²

Tags

CCSS.7.G.B.4

CCSS.7.G.B.6

Find the volume to the nearest hundredth. Use 3.14 for π.

• 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 figure. Use 3.14 for π.

• 150.72 cm³

• 75.36 cm³

• 452.16 cm³

• 152 cm³

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

How do you find the volume of a cone?

• V= ^1/₃ πr²h
• V= ^4/₃ πr²h
• V= ^4/₃ πr³
• V= πr²h

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

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

Calculate the amount of ice cream this cone can hold (just to the top of the cone). Round to the nearest hundredth. Use 3.14 for π.

***Remember to take half of the diameter to get the radius.***

• 58.29 cm²

• 58.29 cm³

• 233.15 cm²

• 233.15 cm³

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Find the volume of the cone. Round your answers to the nearest tenth. Use 3.14 for π.

***Remember to take half of the diameter to get the radius.***

• 127.3 yd³

• 347.6 yd³

• 287.7 yd³

• 147.7 yd³

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

 $V_{total}=V_{cone}+V_{cylinder}$  V = ?


 $V_{total}=\frac{\pi r^2h}{3}+\pi r^2h$  Remember there are 2 different heights. Round to the nearest whole number. Use 3.14 for π.

• 1,356 m³

• 1,734 m³

• 377 m³

• 590 m³

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3