7th Grade Math

= Step-by-Step Solutions begin on page R1.

Extra Practice begins on page EP2.

Example 1 Find the volume of each cone. Round to the nearest tenth.

7.

14 mm

23 mm 8. 3.8 ft

1.1 ft

9.

15.9 mm

13.4 mm

10. height: 3.9 yards, radius: 1.7 yards


11. height: 24 centimeters, diameter: 8 centimeters


12. height: 15 inches, diameter: 5 inches

Example 2 13. HATS A party hat like the one at the right is

8 in.

7 in.

going to be filled with candy. If one cup is about

14.4 cubic inches, about how many cups of candy

will fit in the party hat?

14. ICE Isaiah is making cone-shaped ice cubes by
    using a mold. The radius of the mold is 1.5 inches
    and the height is 2 inches. If one cubic inch is
    about 0.55 ounce, how many ounces will ten
    cone-shaped ice cubes weigh? Round to the nearest
    tenth.

B 15. GEOMETRY The volume of a cone with a 30-millimeter radius is

9,420 cubic millimeters. What is the height of the cone to the nearest

millimeter?

16. The volume of a cone is 593.46 cubic inches. The radius is 9 inches. Find
    the height of the cone to the nearest inch.

1717 A cylinder has a radius of 5 centimeters and a height of 12 centimeters.

What would the height of a cone need to be if it has the same volume

and radius? Round to the nearest centimeter.

18. VOLCANOES Mount Rainier, a cone-shaped volcano in Washington, is
    about 4.4 kilometers tall and about 18 kilometers across its base. Find
    the volume of Mount Rainier to the nearest whole number.

Find the height of each cone. Round to the nearest tenth.

19.

Volume: 42.39 m^3

h 3 m

20.

h 12 in.

Volume: 1,205.76 in^3

21.

h 2.5 yd

Volume: 19.625 yd^3

22. GEOMETRY The volume of a cone with a height of 18 millimeters is
    471 cubic millimeters. Find the area of the base to the nearest tenth.

Lesson 1F Volume 577

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