Apps. and Interpretation for IBDP Maths Ebook 1 | Page 193

(c) Find the length of AD .
(d) Find the size of angle VMO .
(e) Find the size of angle VAO .
3. A circular cone has a base radius of 40 cm and a slant height of 104 cm, as shown in the
following diagram.
[3]
[3]
[5]
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(a) Find the size of angle OVA .
[2]
(b) Find the total surface area of the cone.
[3]
(c) Find the volume of the cone.
[4]
The cone is cut into two parts horizontally such that the two parts have the same volume.
The upper part is a smaller cone and the lower part is a frustum. Let R and H be the
base radius and the vertical height of the upper part respectively.
(d) Express R in terms of H .
(e) Find the value of H and of R .
[2]
[6]
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