Volume Problem Solving Questions - Sphere, Cone, Cylinder, Cuboid - Higher Tier A/A*
This is a very challenging task that tests students knowledge of higher tier volume formula
This is a very demanding activity that asks students to solve problems involving 3D shapes.
Task 1 asks students to find the percentage of the container that is filled with water.
Task 2 requires students to visualise the shapes and will test their problem solving faculties, along with their understanding of the volume formulae required.
Task 3 inverts the processes in task 2 and 3 and therefore is little more demanding.
Task 4 is an open ended activity. You can add as much or as little structure to this activity as you like, but some guidelines often allow for a more thorough response from students. Eg. the shape must NOT have constant cross-section.
Some answers provided.
Enjoy!