Spheres, Cones, Cylinders

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

A solid cone was placed in the center of a rectangular fish tank as shown. Which is closest to the maximum amount of water that the fish tank can hold?

• 1286 in³

• 1455 in³

• 1476 in³

• 1569 in³

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

The Sphere above has a diameter of 20 centimeters.What would be the volume of the sphere?

• 4,188.8

• 1,333.3

• 2,364.3

• 5,000.3

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

This is the formula for which shape?

• Spheres

• Cones

• Cylinders

• Prisms

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

A cone has a height of 30 in. and a diameter of 20 in. What is the approximate volume of the cone?

• 600 in³

• 1,885 in³

• 3,140 in³

• 12,566 in³

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

How do you find 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

Which figure has a volume of 45π ft³?

• Cylinder with a height of 5ft and diameter of 6 ft

• Sphere with a radius of 3 ft

• Cone with a radius of 3 feet and height of 5 ft

• Sphere with a diameter of 5 feet

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

• 33,510.3 mm³

• 268,083 mm³

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3