Grade 8 | Unit 5 | Lesson 13: The Volume of a Cylinder | Practice Problems

Sketch a cylinder. Label its radius 3 and its height 10. Shade in one of its bases.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

At a farm, animals are fed bales of hay and buckets of grain. Each bale of hay is in the shape of a rectangular prism. The base has side lengths 2 feet and 3 feet, and the height is 5 feet. Each bucket of grain is a cylinder with a diameter of 3 feet. The height of the bucket is 5 feet, the same as the height of the bale. Which is larger in area, the rectangular base of the bale or the circular base of the bucket? Explain how you know.

Tags

CCSS.7.G.B.6

At a farm, animals are fed bales of hay and buckets of grain. Each bale of hay is in the shape of a rectangular prism. The base has side lengths 2 feet and 3 feet, and the height is 5 feet. Each bucket of grain is a cylinder with a diameter of 3 feet. The height of the bucket is 5 feet, the same as the height of the bale. Which is larger in volume, the bale or the bucket? Explain how you know.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Three cylinders have a height of 8 cm. Cylinder 1 has a radius of 1 cm. Cylinder 2 has a radius of 2 cm. Cylinder 3 has a radius of 3 cm. Find the volume of each cylinder.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

A one-quart container of tomato soup is shaped like a rectangular prism. A soup bowl shaped like a hemisphere can hold 8 oz of liquid. How many bowls will the soup container fill?

Tags

CCSS.5.MD.A.1

Match each set of information about a circle with the area of that circle.

• B: Circle B has a radius of 10 units.

• A: Circle A has a radius of 4 units.

• 2: approximately 314 square units

Tags

CCSS.7.G.B.4

Tags

CCSS.8.EE.B.5