Formulas for Area and Volume of Prisms, Cylinders, Pyramids, Cones, and Spheres

Which measurement best represents volume?

• The amount of soda that fits into a can

• The amount of wrapping paper that is needed to wrap a present

Find the volume of the following cone.

• 156 ∏ m³

• 702∏ m³

• 2,106∏ m³

• 78∏ m³

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

A silo in the shape of a cylinder is partially filled with corn to feed cows. The corn fills 50% of the height of the silo. What is the approximate volume of the part of the silo that is filled with corn if the silo is 12 feet in diameter and 60 feet high?

• 27,143.36 ft³

• 3392.92 ft³

• 13,571.68 ft³

• 6,785.84 ft³

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Find the volume of the sphere. Round your answers to the nearest tenth if necessary. Use 3.14 for π. 

• 310.2 cm³

• 379.2 cm³

• 240.8 cm³

• 456  cm³

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Calculate the amount of ice cream this cone can hold (just to the top of the cone) . Round to the nearesthundredth.

• 58.29 cm²

• 58.29 cm³

• 233.15 cm²

• 233.15 cm³

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

A juice container shaped like a cylinder has a base area of 100 cm 2 and can hold 1500 cm3 of juice. What is the height of the juice container?

• 5 cm

• 10 cm

• 15 cm

• 150 cm

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

A dump truck is unloading sand that falls into a conical pile. Find the height of the cone when the diameter of the pile is 16 ft and the volume of the sand is 900 ft³ . Round your answer to the nearest tenth.

• 42.2 ft

• 4.5 ft

• 13.4 ft

• 17.9 ft

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

A cereal box is 12cm tall.  The area of the base is 7cm.  What is the volume?

• 84 cm²

• 84 cm³

• 83 cm

• 84

Tags

CCSS.7.G.B.6

What is this the formula for?
Volume of ____________

• Prisms

• Pyramids

• Cones

• Spheres

Tags

CCSS.7.G.B.6

What is this formula used to find?
V=4/3πr³

• The volume of a cylinder

• The volume of a cone

• The volume of a sphere

• The area of a circle

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3