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Important Questions

Surface Areas and Volumes

2 priority revision questions selected from the existing 5-mark and hard-level question metadata for this chapter.

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Important Questions

2
Q3
Long Answer (5 Marks)

A wooden toy rocket is in the shape of a cone mounted on a cylinder. The height of the entire rocket is 2626 cm, while the height of the conical part is 66 cm. The base of the conical portion has a diameter of 55 cm, while the base diameter of the cylindrical portion is 33 cm. If the conical portion is to be painted orange and the cylindrical portion yellow, find the area of the rocket painted with each of these colours. (Take π=3.14\pi = 3.14)

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Q7
Long Answer (5 Marks)

A metallic bucket, open at the top, is in the shape of a frustum of a cone. The height of the bucket is 2424 cm, the radius of the upper circular end is 1414 cm, and the radius of the lower circular end is 77 cm. Find: (i) the area of the metallic sheet used to make the bucket (ignoring the thickness of the metal), and (ii) the volume of water the bucket can hold. (Take π=227\pi = \frac{22}{7})

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