Stage 9 - Q1 - 3 marks
Find the cylinder volume. Give an exact answer in terms of pi and an approximation to 1 decimal place.
Hint
Halve the diameter if the diagram gives d.
Stage 9 - Q2 - 3 marks
Find the cylinder volume. Give an exact answer in terms of pi and an approximation to 1 decimal place.
Hint
Halve the diameter if the diagram gives d.
Stage 9 - Q3 - 3 marks
Find the cylinder volume. Give an exact answer in terms of pi and an approximation to 1 decimal place.
Hint
Halve the diameter if the diagram gives d.
Stage 9 - Q4 - 3 marks
A cylinder has radius 55 mm and height 17 cm. Find its volume in cubic cm, to 1 decimal place.
Hint
Use one consistent length unit throughout the formula.
Stage 9 - Q5 - 3 marks
Find the cylinder volume. Give an exact answer in terms of pi and an approximation to 1 decimal place.
Hint
Halve the diameter if the diagram gives d.
Stage 9 - Q6 - 3 marks
A cylinder has diameter 5 cm and height 11 cm. A pupil uses the diameter as r. By what factor is the result too large? Give the correct exact volume.
Hint
The radius appears squared.
Stage 9 - Q7 - 3 marks
A cylinder has radius 60 mm and height 14 cm. Find its volume in cubic cm, to 1 decimal place.
Hint
Use one consistent length unit throughout the formula.
Stage 9 - Q8 - 3 marks
A cylinder of radius \(\frac{9}{2}\) cm and height 5 cm has its radius doubled, with height unchanged. Find its new exact volume.
Hint
Separate a radius change from a height change.
Stage 9 - Q9 - 3 marks
A cylinder has diameter 9 cm and height 6 cm. A pupil uses the diameter as r. By what factor is the result too large? Give the correct exact volume.
Hint
The radius appears squared.
Stage 9 - Q10 - 6 marks
A wax cylinder has radius 6 cm and height 15 cm. It is melted into 10 identical cylindrical candles, each of radius 3 cm. Exactly 5% of the wax is lost. Find each candle height.
Hint
A 5% loss leaves 95% of the volume, not 95% of every dimension.