7th Grade Math

26. BAKING Which will hold more cake batter, the rectangular pan or two
    round pans? Explain.

13 in.

2 in. 9 in.

8 in.

2 in.

2727 ALGEBRA Cylinder A has a radius of 4 inches and a height of 2 inches.

Cylinder B has a radius of 2 inches. What is the height of Cylinder B to

the nearest inch if both cylinders have the same volume?

28. MULTIPLE REPRESENTATIONS The Radius
    (cm)

Height

(cm)

Volume

(cm^3 )

Cylinder A 11 

Cylinder B 12 

Cylinder C 21 

Cylinder D 22 

dimensions for four cylinders are

shown in the table.

a. SYMBOLS Write an equation to

find the volume of each cylinder.

b. WORDS Compare the

dimensions of Cylinder A with

the dimensions of Cylinders B, C, and D.

c. NUMBERS Copy and complete the table.

d. WORDS Explain how changing the dimensions of a cylinder affects the

cylinder’s volume.

C 29. CHALLENGE Two equally sized sheets of construction paper are rolled;

one along the length and the other along the width, as shown. Which

cylinder has the greater volume? Explain.

30. OPEN ENDED Draw and label a cylinder that has

16 cm

8 cm

a larger radius but less volume than the cylinder

shown at the right.

31. NUMBER SENSE What is the ratio of the volume
    of a cylinder to the volume of a cylinder having
    twice the height but the same radius?


32. NUMBER SENSE Suppose Cylinder A has the same height but twice the
    radius of Cylinder B. What is the ratio of the volume of Cylinder B to
    Cylinder A?


33. E WRITE MATH Explain how the formula for the volume of a cylinder
    is similar to the formula for the volume of a rectangular prism.

Lesson 1C Volume 567

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