Cones and Spheres

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

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

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

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

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

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

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

Find the surface area.

• 468.56 mm²

• 452.16 mm²

• 427.32 mm²

• 408.8 mm²

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

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

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3