Analysis and Approaches for IBDP Maths Ebook 1 | Page 146

Your Practice Set – Analysis and Approaches for IBDP Mathematics
2. A football in the shape of a sphere is filled with gas until the radius is 14 cm.
(a)
Calculate the total surface area of the football.
The total surface area of the football is increased by 15%.
[2]
(b)
Calculate the percentage increase of its volume.
[5]
3. The radius and the height of a cylindrical sponge cake are 18 cm and 8 cm respectively.
(a)
Calculate the total surface area of the sponge cake.
The sponge cake is then cut into two identical halves vertically by a knife.
[2]
(b)
Calculate the percentage increase of the total surface area.
[4]
4. The radius and the slant height of a crystal in the shape of circular cone are 7 cm and
25 cm respectively.
(a)
Calculate the total surface area of the crystal.
The crystal is then cut into two identical halves vertically.
[2]
(b)
Calculate the percentage increase of the total surface area.
[5]
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