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Solid geometry
1.Diagram 1 shows a solid formed by joining a cone and a cylinder.
4 cm
Diagram 1
The diameter of the cylinder and the diameter of the base of the cone are both 7 cm.
The volume of the solid is 231 cm².By using π = 22 , calculate the height, in cm,
of the cone. 7
Answer:
2.Diagram 2 shows a solid cone with radius 9 cm and height 14 cm. A cylinder
with radius 3 cm and height 7 cm is taken out of the solid.
Diagram 2
Calculate the volume,in cm³,of the remaining solid. (Use π = 22 )
7

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3.Diagram 3 shows a cylinder. The shaded area with the shape of a hemisphere
of radius 3 cm was removed.
7 cm
Diagram 3
Find the volume , in cm³ , of the remaining solid. ( Use π = 22)
7
4.Diagram 4 shows a solid formed by joining a cone and a hemisphere.
The diameter of the hemisphere is 10 cm and the slant height is 13 cm.
Diagram 4
Calculate the volume , in cm³, of the solid

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5.Diagram 5,shows a container for storing bread consists of a cuboid and a quadrant
of a cylinder.
U V
30 cm
W
15 cm
Q R
20 cm 7cm
Calculate the volume, in cm³ , of the container . ( Use π = 22 )
7

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ANSWER (DAIGNOSTIC TEST)
1. height = 6
2. volume = 990
3. volume = 141.43
4. volume = 576.19
5. volume = 10155

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