VolumeCalculate the volumes of the given solid shapes. 
This is level 2; Find the volume of compound solid shapes. Give nonexact answers correct to the nearest whole number of the indicated units. The diagrams are not to scale.
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Level 1  Find the volume of basic solid shapes.
Level 2  Find the volume of compound solid shapes.
Level 3  Examtype questions on mensuration.
You could also try the Surface Area exercise.
Cube: \(s^3\) where \(s\) is the length of one edge.
Cuboid: \(l\times w\times h\) where \(l\) is the length, \(w\) is the width and \(h\) is the height of the cuboid.
Cylinder: \(h \times \pi r^2\) where \(h\) is the height (or length) of the cylinder and \(r\) is the radius of the circular end.
Cone: \(h \times \frac13 \pi r^2\) where \(h\) is the height of the cone and \(r\) is the radius of the circular base.
Square based pyramid: \(h \times \frac13 s^2\) where \(h\) is the height of the pyramid and s is the length of a side of the square base.
Sphere: \(\frac43 \pi r^3\) where \(r\) is the radius of the sphere.
Prism: Area of the cross section multiplied by the length of the prism.
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David Whitaker, Princes Risborough
Wednesday, May 4, 2016
"I have been trying to work out the solutions to the level 1 questions on the volumes of cylinders, cones and spheres, but have been unsuccessful despite entering various values for pi. Can you advise what value I should use.
Thank You
[Transum: Typically the value of pi stored on your calculator (roughly 3.141592) should be used for those questions and did you notice the instruction at the top of the page that stated 'Give nonexact answers correct to the nearest whole number of the indicated units'?]"