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0580 P42 - Nov 2013 - Q4 - 12 marks
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Cheese prism sectorradius8angle42heighth

A wedge of cheese is a prism cut from a cylinder of height h cm. Its radius is 8 cm and AOB = 42°.

(a(i)) Its volume is 90 cm³. Show that h = 3.84 cm to 2 decimal places. [4]

(a(ii)) Calculate its total surface area. [5]

(b) A similar wedge has volume 22.5 cm³. Find its height. [3]

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