Analysis and Approaches for IBDP Maths Ebook 1 | Page 149

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(c)
Find the value of the height, OV , of the cone.
(d) Find the size of angle AVB .
(e)
Find the total surface area of the cone.
2. A solid pentagonal prism has a base area of
perimeter of the pentagonal base is 62 cm.
2
260 cm and a height of 100 cm. The
[3]
[4]
[3]
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(a) Find the volume of the prism.
[2]
(b) Find the total surface area of the prism.
[3]
The prism was melted and recast into a solid square pyramid VABCD , shown in the
following diagram. O is the centre of the base. The vertical height OV is 40 cm. M is
the mid-point of AD .
(c) Find the length of AD .
(d) Find the size of angle VMO .
(e) Find the size of angle VAO .
[3]
[3]
[5]
3. A circular cone has a base radius of 40 cm and a slant height of 104 cm, shown in the
following diagram.
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