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Cones and Spheres

Authored by Mike Lovelace

Mathematics

9th - 10th Grade

CCSS covered

Used 16+ times

Cones and Spheres
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12 questions

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1.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Which is the correct equation for 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

2.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Which is the correct equation for the volume of a sphere?

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

3.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Media Image

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

47 cubic inches

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

4.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

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

33,493.3 mm3

268,083 mm3

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

5.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Media Image

Find the surface area of this cone. Exact answers are given meaning PI is not multiplied into the problem.

65π ft.2

60π ft.2

90π ft.2

130π ft.2

6.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Media Image

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

The volume of Ball 1 is 4 times the volume of Ball 2.

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

The volume of Ball 1 is 2 times the volume of Ball 2.

The volume of Ball 1 is 16 times the volume of Ball 2.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

7.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Media Image

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

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