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1 of 8 0-day streak

Joined and hollow prism-cylinder volumes

DIFFICULTYintrostandardchallengeexam
Question 1 of 8

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A vertical solid cylinder is joined on top of a rectangular block. The solids meet at a face without any overlap of volume

The block has length L = 8 cm, depth W = 10 cm and height H = 3 cm

The cylinder has radius r = 2 cm and height h = 5 cm

The whole circular base of the cylinder fits on the block top. Ignore glue and any joining material

Perspective view of a vertical cylinder attached to a cuboid. L, W and H label the cuboid length, depth and height. The cylinder has height h and diameter 2r, shown by the capped dimension above its circular top.LWHh2r
Not to scale. The whole cylinder base touches the cuboid top
2 marks

How much space does the joined solid occupy? Give the volume in cm³ to 2 decimal places