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IB: 4
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A spherical white blood cell appears as a circle with circumference 6π×10−5m.
- [1]
Write down the radius of the cell.
- [3]
Find the volume of the cell, giving your answer in the form π(a×10k)m3, where a<10 and k∈Z.
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A chocolate ball is formed from a spherical shell with diameter d and thickness 2mm. The shell is filled on the inside with 3cm3 of caramel.
- [3]
Show that d=2.19cm.
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Hence find the volume of the chocolate shell.
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The diagram below shows triangle ABC
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- [4]
Find the value of x.
- [2]
Hence or otherwise, find the value of the angle θ to the nearest degree.