Real-World Volume

A hemisphere with a diameter 10 ft is placed top of a cylinder with the same diameter and a height of 12 ft, to form a new figure. What is the total volume of the newly formed figure?

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

A pair of cones each have a base with a diameter of 8 inches. The height of the taller cones 15 inches and the height of the shorter cone is 6 inches. What is the difference of the volumes of the two cones in cubic inches?

• 48

• 150.72

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

A spherical ball with a radius of 7 cm is placed inside a cylindrical jar with a radius of 9 and a height of 13 cm. About how much space is inside the cylinder but outside the sphere?

• 596

• 457

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Volume is always...

• squared

• cubed

• quadrupled

• twice

Tags

CCSS.5.MD.C.3A

CCSS.5.MD.C.3B

CCSS.5.MD.C.4

Choir is selling Pringle Chips to raise money for a field trip. The container has a diameter of 9 inches and a height of 32 inches.

Which equation can be used to find the volume of the container?

• V = π(9)

• V = π(4.5)²(32)

• V = π(9)²(32)

• V = π(4.5)(32)

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

A basketball has a diameter of 10 inches. Find the volume. Round to the nearest tenth.

• 523.6 in³

• 4188.8 in³

• 92 in³

• 2391.7 in³

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

George spends 20 minutes inflating a beach ball.  When the ball is completely inflated, it has a diameter if 18 inches.  How much air does the beach ball hold?

• 75.40 in³

• 37.70 in³

• 3053.63 in³

• 24429.02 in³

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

How much more liquid would fit in the cylinder if it was already half full?

• 603.43 cm³

• 301.44 cm³

• 201.14 cm³

• 1206.86 cm³

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

A cylindrical water tank has a height of 10 feet and a diameter of 8 feet.  The tank is filled halfway with water.  What is the volume of the water currently in the tank?

• 2010.62 ft³

• 251.33 ft³

• 502.65 ft³

• 1005.31 ft³

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Find the volume of the cylinder.

• 282.6

• 516.2

• 133

• 214

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3