Shape and Space 7
4 marks · NormalThe table shows the dimensions of three solid objects:
| Shape | Key dimension(s) | Unit |
|---|---|---|
| Sphere | r = 4 | cm |
| Cone | r = 3, h = 7 | cm |
| Cylinder | r = 2, h = 5 | cm |
Complete the table below by calculating the volume and total surface area of each solid. Give all answers to 3 significant figures.
Work this out on paper, then compare with the answer and worked solution below. With a free account you can submit written answers for marking.
Show mark scheme and worked solution
Marking points
M1 · 1 mark · Chooses and applies correct formulae for each solid.
A1 · 1 mark · Accurately calculates volume for all 3 solids (answers to 3 s.f.).
A2 · 1 mark · Accurately calculates total surface area for all 3 solids (answers to 3 s.f.).
B1 · 1 mark · All answers entered correctly in the answer table.
Worked solution
| Shape | Volume (cm³) | Total surface area (cm²) |
|---|---|---|
| Sphere | 268 | 201 |
| Cone | 66.0 | 106 |
| Cylinder | 62.8 | 87.9 |