Surface Area and Volume of Cones, Square Pyramids, and Cylinders

Two similar cylinders have surface areas of 40π ft² and 90π ft². What is the ratio of the height of the large cylinder to the height of the small cylinder?

• 4/9

• 2/3

• 8/27

• 16/81

Two similar cones have a scale factor of 8/27. What is the ratio of their volumes?

• 2/3

• 64/729

• 512/19683

• 8/27

What is the scale factor of the side lengths of the figure on the left to the figure on the right.

• 3/1

• 3240/120

• 27/1

• 9/1

Two similar pyramids have heights of 4 inches and 7 inches.  What is the ratio of the volume of the small pyramid to the volume of the large pyramid? 

• 4:7

• 16:49

• 64:343

• 12:21

An ice cream cone has a diameter of 3 inches and a height of 5 inches. The cone is filled with ice cream and has a hemisphere on top. What is the volume of the cone and the ice cream to the nearest tenth of an inch? (use 3.14 for pi).

• 14.1 in³

• 49.5 in³

• 25.9 in³

• 18.8 in³

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? If necessary, round to the nearest whole number.

• 1286 in³

• 1455 in³

• 1476 in³

• 1569 in³

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

V = ?

• 1,356.48 m³

• 1,733.28 m³

• 376.8 m³

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

• 56.5 in³
• 169.5 in³
• 113 in³
• 226.1 in³

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Find the surface area of the cone. Leave your answer in terms of pi.

• 12π m²

• 16π m²

• 24π m²

• 8π m²

Find the surface area of the cone.

• 131.95 mm²

• 223.1 mm²

• 62.83 mm²

• 103.67 mm²