Volume of cylinders, spheres, and cones word problems

Repeating decimals

3 Topics
|
3 Quizzes
Square roots & cube roots

5 Topics
|
6 Quizzes
Irrational numbers

3 Topics
|
2 Quizzes
- Classify numbers: rational & irrational
Approximating irrational numbers

4 Topics
|
3 Quizzes
- Comparing irrational numbers with a calculator
Exponents with negative bases

6 Topics
|
3 Quizzes
Exponent properties intro

3 Topics
|
4 Quizzes
Negative exponents

2 Topics
|
1 Quiz
1. Negative exponents
2. Negative exponent intuition
- Negative exponents
Exponent properties (integer exponents)

2 Topics
|
2 Quizzes
1. Multiplying & dividing powers (integer exponents)
  1. Multiply & divide powers (integer exponents)
2. Powers of products & quotients (integer exponents)
- Powers of products & quotients (integer exponents)
Working with powers of 10

2 Topics
|
2 Quizzes
1. Multiplying multiples of powers of 10
  1. Multiplication and division with powers of ten
2. Approximating with powers of 10
  1. Approximating with powers of 10
Scientific notation intro

2 Topics
|
1 Quiz
1. Scientific notation example: 0.0000000003457
2. Scientific notation examples
- Scientific notation
Arithmetic with numbers in scientific notation

4 Topics
|
2 Quizzes
- Multiplying & dividing in scientific notation
- Adding & subtracting in scientific notation
Scientific notation word problems

3 Topics
|
1 Quiz
- Scientific notation word problems
Equations with variables on both sides

4 Topics
|
2 Quizzes
Equations with parentheses

1 Topic
|
2 Quizzes
1. Equations with parentheses
  1. Equations with parentheses
- Equations with parentheses: decimals & fractions
Number of solutions to equations

4 Topics
|
2 Quizzes
- Number of solutions to equations
- Number of solutions to equations challenge
Equations word problems

2 Topics
|
1 Quiz
1. Sums of consecutive integers
2. Sum of integers challenge
- Sums of consecutive integers
Graphing proportional relationships

2 Topics
|
1 Quiz
1. Rates & proportional relationships example
2. Rates & proportional relationships: gas mileage
  1. Rates & proportional relationships
Solutions to linear equations

4 Topics
|
2 Quizzes
- Solutions to 2-variable equations
- Complete solutions to 2-variable equations
Intercepts

5 Topics
|
2 Quizzes
- Intercepts from a graph
- Intercepts from an equation
Slope

8 Topics
|
3 Quizzes
Intro to slope-intercept form

2 Topics
|
1 Quiz
1. Intro to slope-intercept form
2. Worked examples: slope-intercept intro
- Slope-intercept intro
Writing slope-intercept equations

5 Topics
|
2 Quizzes
- Slope-intercept equation from graph
- Slope-intercept from two points
Functions

7 Topics
|
3 Quizzes
Linear models

7 Topics
|
3 Quizzes
Comparing linear functions

6 Topics
|
1 Quiz
- Compare linear functions
Constructing linear models for real-world relationships

5 Topics
|
1 Quiz
- Writing linear functions word problems
Recognizing functions

9 Topics
|
2 Quizzes
- Recognize functions from tables
- Recognize functions from graphs
Linear and nonlinear functions

5 Topics
|
2 Quizzes
- Linear & nonlinear functions
- Interpreting graphs of functions
Intro to systems of equations

3 Topics
|
1 Quiz
- Solutions of systems of equations
Solving systems with substitution

6 Topics
|
1 Quiz
- Systems of equations with substitution
Number of solutions to systems of equations

5 Topics
|
1 Quiz
- Number of solutions to a system of equations algebraically
Systems of equations word problems

7 Topics
|
2 Quizzes
- Age word problems
- Systems of equations word problems
Angles between intersecting lines

4 Topics
|
3 Quizzes
Triangle angles

7 Topics
|
3 Quizzes
Pythagorean theorem

3 Topics
|
4 Quizzes
Pythagorean theorem application

4 Topics
|
5 Quizzes
Pythagorean theorem and distance between points

1 Topic
|
1 Quiz
1. Distance formula
- Distance between two points
Pythagorean theorem proofs

4 Topics
Volume

3 Topics
|
4 Quizzes
Transformations intro

3 Topics
|
1 Quiz
- Identify transformations
Translations

3 Topics
|
1 Quiz
- Translate points
Rotations

2 Topics
|
2 Quizzes
1. Rotating points
2. Determining rotations
- Rotate points (basic)
- Determine rotations (basic)
Reflections

3 Topics
|
1 Quiz
- Reflect points
Properties & definitions of transformations

3 Topics
|
3 Quizzes
Dilations

5 Topics
|
2 Quizzes
- Dilations: scale factor
- Dilate triangles
Congruence and similarity

4 Topics
|
2 Quizzes
- Congruence & transformations
- Similarity & transformations
Introduction to scatter plots

1 Topic
|
1 Quiz
1. Constructing a scatter plot
  1. Making appropriate scatter plots
Interpreting scatter plots

2 Topics
|
2 Quizzes
1. Example of direction in scatterplots
2. Scatter plot: smokers
- Positive and negative linear associations from scatter plots
- Describing trends in scatter plots
Estimating lines of best fit

4 Topics
|
3 Quizzes
Two-way tables

3 Topics
|
4 Quizzes

Math 8th grade

Volume of cylinders, spheres, and cones word problems

Quiz Summary

Information

Results

Results

Categories

1. Question

Ariel is filling a giant beach ball with air. The radius of the beach ball is cm.

What is the volume of air that the beach ball will hold?
Either enter an exact answer in terms of

2. Question

James has an ice cube tray that makes ice in the shape of spheres rather than cubes. Each sphere of ice has a radius of 2 cm. One tray makes spheres.

What is the total volume of ice the tray can make at one time?
Either enter an exact answer in terms of

3. Question

A graduated cylinder is filled with 36π of liquid. The liquid is poured into a different cylinder that has a radius of 3 cm.

What will the height of the liquid be in the new cylinder?

cm

4. Question

As runners in a marathon go by, volunteers hand them small cone shaped cups of water. The cups have the dimensions shown. Abigail sloshes of the water out of her cup before she gets a chance to drink any.

What is the volume of water remaining in Abigail’s cup?

5. Question

A cake decorator rolls a piece of stiff paper to form a cone. She cuts off the tip of the cone and uses it as a funnel to pour decorative sprinkles into small containers. The cone has a radius of 6 cm and a height of 18 cm.

What is the volume of the cone before the end is cut off?

Either enter an exact answer in terms of

6. Question

The Ming family has a backyard kiddie pool with the dimensions shown. After a lot of splashing one afternoon, the pool is only half full.

What is the volume of water remaining in the pool?
Either enter an exact answer in terms of

7. Question

The gift shop at a science museum sells lollipops that are made to look like the planets. Each lollipop is shaped like a sphere and has a radius of mm.

What is the volume of each lollipop?
Either enter an exact answer in terms of

8. Question

Stacy hits the jackpot one day at the gumball machine. She puts in a quarter and gets 4 gumballs rather than 1. The radius of each gumball is mm.

What is the total volume of all 4 gumballs?
Either enter an exact answer in terms of

9. Question

Francisco is making an effort to drink more water, and has set a goal of liters per day. He wants to know the volume of the water bottle he takes to school each day. The water bottle has the dimensions shown in the diagram.

What is the volume of Francisco’s water bottle?

10. Question

A french fry stand at the fair serves their fries in paper cones. The cones have a radius of 2 inches and a height of inches. It is a challenge to fill the narrow cones with their long fries. They want to use new cones that have the same volume as their existing cones but a larger radius of inches.

What will the height of the new cones be?

inches

Math 8th grade

Volume of cylinders, spheres, and cones word problems

Quiz Summary

Information

Results

Results

Categories

1. Question

Ariel is filling a giant beach ball with air. The radius of the beach ball is 30 cm.

What is the volume of air that the beach ball will hold?Either enter an exact answer in terms of π or use 3.14 for π.

2. Question

James has an ice cube tray that makes ice in the shape of spheres rather than cubes. Each sphere of ice has a radius of 2 cm. One tray makes 6 spheres.

What is the total volume of ice the tray can make at one time?Either enter an exact answer in terms of π or use 3.14 π.

3. Question

A graduated cylinder is filled with 36π of liquid. The liquid is poured into a different cylinder that has a radius of 3 cm.

What will the height of the liquid be in the new cylinder?

cm

4. Question

As runners in a marathon go by, volunteers hand them small cone shaped cups of water. The cups have the dimensions shown. Abigail sloshes of the water out of her cup before she gets a chance to drink any.

What is the volume of water remaining in Abigail’s cup?

5. Question

A cake decorator rolls a piece of stiff paper to form a cone. She cuts off the tip of the cone and uses it as a funnel to pour decorative sprinkles into small containers. The cone has a radius of 6 cm and a height of 18 cm.

What is the volume of the cone before the end is cut off?

Either enter an exact answer in terms of π or use 3.14 for π.

6. Question

The Ming family has a backyard kiddie pool with the dimensions shown. After a lot of splashing one afternoon, the pool is only half full.

What is the volume of water remaining in the pool?Either enter an exact answer in terms of π or use 3.14 for π.

7. Question

The gift shop at a science museum sells lollipops that are made to look like the planets. Each lollipop is shaped like a sphere and has a radius of 12 mm.

What is the volume of each lollipop?Either enter an exact answer in terms of π or use 3.14 for π.

8. Question

Stacy hits the jackpot one day at the gumball machine. She puts in a quarter and gets 4 gumballs rather than 1. The radius of each gumball is 6 mm.

What is the total volume of all 4 gumballs?Either enter an exact answer in terms of π or use 3.14 for π.

9. Question

Francisco is making an effort to drink more water, and has set a goal of 2 liters per day. He wants to know the volume of the water bottle he takes to school each day. The water bottle has the dimensions shown in the diagram.

What is the volume of Francisco’s water bottle?

10. Question

What will the height of the new cones be?

inches

Ariel is filling a giant beach ball with air. The radius of the beach ball is cm.

What is the volume of air that the beach ball will hold?
Either enter an exact answer in terms of

James has an ice cube tray that makes ice in the shape of spheres rather than cubes. Each sphere of ice has a radius of 2 cm. One tray makes spheres.

What is the total volume of ice the tray can make at one time?
Either enter an exact answer in terms of

Either enter an exact answer in terms of

What is the volume of water remaining in the pool?
Either enter an exact answer in terms of

The gift shop at a science museum sells lollipops that are made to look like the planets. Each lollipop is shaped like a sphere and has a radius of mm.

What is the volume of each lollipop?
Either enter an exact answer in terms of

Stacy hits the jackpot one day at the gumball machine. She puts in a quarter and gets 4 gumballs rather than 1. The radius of each gumball is mm.

What is the total volume of all 4 gumballs?
Either enter an exact answer in terms of

Francisco is making an effort to drink more water, and has set a goal of liters per day. He wants to know the volume of the water bottle he takes to school each day. The water bottle has the dimensions shown in the diagram.