# Volume: Further problem solving with spheres, cones and pyramids

In this lesson, we will further our problem solving with volume of spheres, cones and pyramids which also uses Pythagoras' Theorem to find missing lengths.

#### Unit quizzes are being retired in August 2023

Why we're removing unit quizzes from the website >
Quiz:

# Intro quiz - Recap from previous lesson

Before we start this lesson, let’s see what you can remember from this topic. Here’s a quick quiz!

Q1.Amy is working out the volume of this hemisphere. What mistake has Amy made?

1/3

Q2.Work out the total surface area for this hemisphere rounded to 1 decimal place.

2/3

Q3.Work out the volume of this hemisphere rounded to 1 decimal place.

3/3

#### Unit quizzes are being retired in August 2023

Why we're removing unit quizzes from the website >
Quiz:

# Intro quiz - Recap from previous lesson

Before we start this lesson, let’s see what you can remember from this topic. Here’s a quick quiz!

Q1.Amy is working out the volume of this hemisphere. What mistake has Amy made?

1/3

Q2.Work out the total surface area for this hemisphere rounded to 1 decimal place.

2/3

Q3.Work out the volume of this hemisphere rounded to 1 decimal place.

3/3

# Video

Click on the play button to start the video. If your teacher asks you to pause the video and look at the worksheet you should:

• Click "Close Video"
• Click "Next" to view the activity

Your video will re-appear on the next page, and will stay paused in the right place.

# Worksheet

These slides will take you through some tasks for the lesson. If you need to re-play the video, click the ‘Resume Video’ icon. If you are asked to add answers to the slides, first download or print out the worksheet. Once you have finished all the tasks, click ‘Next’ below.

#### Unit quizzes are being retired in August 2023

Why we're removing unit quizzes from the website >
Quiz:

# Volume: Further problem solving with spheres, cones and pyramids

Don’t worry if you get a question wrong! Forgetting is an important step in learning. We will recap next lesson.

Q1.If a solid metal sphere with radius 90 cm was melted down to make smaller spheres of with 3 cm radius, how many smaller spheres could be made?

1/3

Q2.The diagram shows a pencil crayon. The sharpened part of the pencil forms a cone attached to a cylindrical main part of the pencil. Work out the total volume of the pencil crayon to the nearest cm³.

2/3

Q3.The diagram shows a square based pyramid with a perpendicular height of 30 cm. Work out the volume of the pyramid.

3/3

#### Unit quizzes are being retired in August 2023

Why we're removing unit quizzes from the website >
Quiz:

# Volume: Further problem solving with spheres, cones and pyramids

Don’t worry if you get a question wrong! Forgetting is an important step in learning. We will recap next lesson.

Q1.If a solid metal sphere with radius 90 cm was melted down to make smaller spheres of with 3 cm radius, how many smaller spheres could be made?

1/3

Q2.The diagram shows a pencil crayon. The sharpened part of the pencil forms a cone attached to a cylindrical main part of the pencil. Work out the total volume of the pencil crayon to the nearest cm³.

2/3

Q3.The diagram shows a square based pyramid with a perpendicular height of 30 cm. Work out the volume of the pyramid.

3/3

# Lesson summary: Volume: Further problem solving with spheres, cones and pyramids

## Time to move!

Did you know that exercise helps your concentration and ability to learn?

For 5 mins...

Move around:
Walk

On the spot:
Dance