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ppr maths nbk

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
ppr maths nbk




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
ppr maths nbk




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
ppr maths nbk



ANSWER (DAIGNOSTIC TEST)


 1. height = 6

 2. volume = 990

 3.   volume = 141.43

 4. volume = 576.19

 5. volume = 10155
ppr maths nbk

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P2 Solid Geometry

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