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HomeQuestion 1FluencyCore
Original practice · Free Online RevisionSkill · cone volume
Find the volume of a cone with radius 5 cm and height 12 cm.
Geometry & MensurationAdvancedMaths revision
Mensuration (Advanced)
Solve compound area and volume problems involving sectors, cones, frustums and scale.
Focus points
✓Use cone and sector formulas.
✓Decompose compound solids.
✓Apply similarity to mensuration.
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Practice setQuestion lineup
Try each question first, reveal a hint when you need one, then check the worked answer. Mark them done as you go — finish the set to claim your chips.
8 revision questions
Question 2FluencyCore
Original practice · Free Online RevisionSkill · cone surface area
A cone has radius 6 cm and slant height 10 cm. Find curved surface area.
Question 3FluencyCore
Original practice · Free Online RevisionSkill · annulus area
Find the area of an annulus with outer radius 9 cm and inner radius 5 cm.
Question 4FluencyCore
Original practice · Free Online RevisionSkill · sector perimeter
A 90° sector has radius 8 cm. Find its perimeter.
Question 5ReasoningCore
Original practice · Free Online RevisionSkill · similar cones
A frustum is formed by removing a small cone of height 4 cm from a similar cone of height 10 cm. The original radius is 7.5 cm. Find the removed cone radius.
Question 6ApplicationStretch
Original practice · Free Online RevisionSkill · frustum volume
Using the previous dimensions, find the frustum volume.
Question 7ReasoningStretch
Original practice · Free Online RevisionSkill · volume comparison
A sphere of radius 3 cm fits exactly inside a cylinder of radius 3 cm and height 6 cm. What fraction of the cylinder volume is occupied by the sphere?
Question 8ChallengeStretch
Original practice · Free Online RevisionSkill · scale factors
A solid is enlarged so its surface area increases by 44%. Find the percentage increase in its volume.