question

What is the volume of the sphere in terms of Ο?

answer

288

question

What is the volume of the oblique cone? Round to the nearest tenth.

answer

142.4 cubic units

question

The volume of the oblique cylinder is 24 ft3.
Which statements are true? Check all that apply.

answer

The height of the cylinder is 3.4 ft.
The diameter of the cylinder is about 3 ft.
A right cylinder with the same height and radius as this oblique cylinder would also have a volume of 24 ft3.

question

The height is ____ units.
The radius is ____ units.
The volume is ____Ο cubic units.

answer

6
8
128

question

A toy company produces rubber balls that have a radius of 1.7 cm.
What is the volume of one rubber ball? Round to the nearest hundredth of a centimeter.
_______ cm3
If the price of the rubber needed to produce a ball is $0.0045/cm3, what is the cost of producing one ball? Round to the nearest cent.
$_______
If the company sells a ball for $0.50, how much profit will it make on each ball?
$_______

answer

20.58
0.09
0.41

question

A can company makes a cylindrical can that has a radius of 6 cm and a height of 10 cm. One of the company's clients needs a cylindrical can that has the same volume but is 15 cm tall. What must the new radius be to meet the client's need? Round to the nearest tenth of a centimeter.

answer

4.9 cm

question

In the derivation of the formula for the volume of a cone, the volume of the cone is calculated to be β/4 times the volume of the pyramid that it fits inside.
Which expression represents the volume of the cone that is β/4 times the volume of the pyramid that it fits inside?

answer

β/4(4r^2h/3)

question

The density of water is 1 gram per cubic centimeter. A more dense object will sink, and a less dense object will float.
Will a marble with a radius of 1.4 cm and a mass of 9 grams sink or float in water?
The marble will ___________ because the density of the marble is about ___________ grams per cubic centimeter.

answer

float
0.78

question

A cone has a radius of 3 and a height given by the expression 2a. Which expression represents the volume of the cone?

answer

6aΟ units3

question

During practice, the Northwood football team drinks water from a cylindrical cooler that has a radius of 6 inches and a height of 20 inches. Players use conical paper cups, as shown below.
If the water cooler is filled completely, can each of the 38 players have two full paper cups of water during practice? Explain.

answer

Yes, because there is enough water in the cooler for about 81 cups total.

question

The volume of a cylinder is 4Οx3 cubic units and its height is x units.
Which expression represents the radius of the cylinder, in units?

answer

2x

question

An oblique cone has a height equal to the diameter of the base. The volume of the cone is equal to 18Ο cubic units.
What is the radius of the cone?

answer

3 units

question

The diameter of a sphere is 4 centimeters. Which represents the volume of the sphere?

answer

32/3β cm^3

question

A gardener uses a tray of 6 conical pots to plant seeds. Each conical pot has a radius of 3 centimeters and a depth of 8 centimeters.
About how many cubic centimeters of soil are needed to plant the full tray? Round to the nearest cubic centimeter.

answer

452 cm3

question

The height of a cone is equal to the diameter of the base.
What expression represents the volume of the cone, in cubic units?

answer

2/3βx^3

question

An oblique cylinder has a diameter of 14 units. The volume of the cylinder is 1,176Ο cubic units.
What is x, the height of the cylinder?

answer

24 units

question

A cylinder has a radius of 1 inch and height of 1 inch.
What is the approximate volume of the cylinder? Round to the nearest hundredth. Use 3.14 for Ο.

answer

3.14 cubic inches

question

What is the volume of the cone? Use Ο β 3.14.

answer

12.56 cubic units

question

A cylindrical cardboard tube with a diameter of 8 centimeters and a height of 20 centimeters is used to package a gift.
What is the approximate volume of the tube? Round to the nearest whole cubic centimeter.

answer

1,005 cm3

question

The base diameter and the height of a cone are both equal to x units.
Which expression represents the volume of the cone, in cubic units?

answer

1/12Οx3