Apps. and Interpretation for IBDP Maths Ebook 1 | Page 183

Exercise 48
1. The area of a circle is equal to
2
9� cm .
(a)
Find the radius of the circle.
This circle is the base of a solid circular cone of height 4 cm.
[2]
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(b)
(c)
Write down the volume of the solid circular cone, giving the answer in terms of
� .
[1]
Find the total surface area of the solid circular cone.
[4]
2. The area of a circle is equal to
2
37 cm .
(a)
Find the radius of the circle.
This circle is the base of a solid hemisphere.
[2]
(b)
(c)
Write down the volume of the solid hemisphere.
Find the total surface area of the solid hemisphere.
[2]
[3]
3. A type of biscuit is packaged in a right circular cone that has volume
vertical height 13 cm.
3
150 cm and
(a)
(b)
(c)
Find the radius, r , of the circular base of the cone.
Find the slant height, l , of the cone.
Find the curved surface area of the cone.
4. Chocolate ice cream is designed in a right circular cone that has curved surface area
2
369� cm and slant height 41 cm.
(a)
(b)
Find the radius, r , of the circular base of the cone.
Find the vertical height, h , of the cone.
(c) Find the volume of the cone, giving the answer in terms of � .
[2]
[2]
[2]
[2]
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