# Unit Quiz: Volume and Surface Area Higher 3

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## Q1. Work out the slant height of this cone.

### Options:

- 5 cm
- 7 cm
- 12 cm
- 25 cm

### Correct Answer:

- 5 cm

## Q2. For the cone in question 1, work out the surface area and choose which is the correct answer in terms of pi.

### Options:

- A
- B
- C
- D

### Correct Answer:

- A

## Q3. The diagram shows a sphere and a cube.The surface area of the cube is equal to the surface area of the sphere. Work out the radius of the sphere rounded to 1 decimal place.

### Options:

- 4.1 cm
- 1.7 cm
- 17.2 cm
- 295.5 cm

### Correct Answer:

- 4.1 cm

## Q4. 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?

### Options:

- 27,000
- 30
- 300
- 900

### Correct Answer:

- 27,000

## Q5. 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.

### Options:

- 29 cm³
- 5 cm³
- 13 cm³
- 3 cm³

### Correct Answer:

- 3 cm³

## Q6. The diagram shows a square based pyramid with a perpendicular height of 30 cm. Work out the volume of the pyramid.

### Options:

- 12,000 cm³
- 4,000 cm³
- 8000 cm³
- 600 cm³

### Correct Answer:

- 4,000 cm³

## Q7. Amy is working out the volume of this hemisphere. What mistake has Amy made?

### Options:

- Amy has not halved the volume of the sphere.
- Amy has not used the correct formula for volume.
- Amy has not used the radius

### Correct Answer:

- Amy has not used the radius

## Q8. Work out the total surface area for this hemisphere rounded to 1 decimal place.

### Options:

- 804.2 cm²
- 402.1 cm²
- 1005.3 cm²
- 603.2 cm²

### Correct Answer:

- 603.2 cm²

## Q9. Work out the volume of this hemisphere rounded to 1 decimal place.

### Options:

- 134.0 cm³
- 8578.6 cm³
- 1072.3 cm³
- 2144.7 cm³

### Correct Answer:

- 1072.3 cm³

## Q10. Which shape shows a frustum?

### Options:

- A
- B

### Correct Answer:

- A

## Q11. Work out the volume of the frustum. Round your answer to 1 decimal place.

### Options:

- 490.1 cm³
- 695.3 cm³
- 188.5 cm³
- 636.7 cm³

### Correct Answer:

- 490.1 cm³