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Frustums and advanced cross-sections
Frustum volumes and surfaces, parallel pyramid sections and off-centre sphere and cylinder sections.
Questions: 6Estimated time: 27 minutes
Time left: 00:00:00
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Sample questions
- A conical frustum has base radii R = ___, r = ___ and height h = ___. Find its volume, leaving π in the answer.
- A conical frustum has radii R = ___, r = ___ and height h = ___. Its axial section is shown. Find its lateral surface area, excluding both bases, leaving π in the answer. ___
- A regular square-pyramid frustum has square bases with side lengths a = ___, b = ___ and height h = ___. Find its volume.
- A regular square pyramid has base side a = ___ and height H = ___. A plane parallel to the base is z = ___ above it. Find the cross-section area.
- A sphere has radius R = ___. A plane is at distance d = ___ from its centre. Find the cross-section area, leaving π in the answer.
Frustums and advanced cross-sections
Six dynamic advanced-course tasks on frustums, similarity and cross-section geometry.
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