1. The document discusses volume calculations for different shapes including spheres, cylinders, and cones. It provides formulas and worked examples for finding the volume of each shape.
2. Steps are outlined for calculating volumes including identifying key variables like radius and using the appropriate volume formulas. Examples are shown finding the volume of spheres with radii of 7 cm and 3.5 cm.
3. The volume of a cylinder with radius 3.5 cm and height 15 cm is calculated as is the volume of a cone with radius 3.5 cm and slant height 22 cm.
1. F 4
F ( 33101 ) 3
F F 1 16
2
1. F F
1.1 F F :
1. F F F FF F
2. F
1.2 F / :
1. F
2. F
3.
4. FF F
5. F F
1.3 F :
1. F
2.
3.
4.
5.
6.
7. F
8. F F F
2. 2. F
F F F
F F F F F
= 4 πr3
3
r
F 1 F .3 F 1 F 43
3. F
1
1. F F F F
2. F F
F F F F
F F F
3. F 3
3.1 F
3.2 F F F
3.3 F F F
F 2
3
2
3
1 2 3 4
3. 4. F F F
F F F F F F
F 4 F
= 2
3
= 2 × πr2h
3
F F F F F
h = 2r
= 2 πr2 (2r) = 4 πr3
3 3
5. F 1 F F F 1 F 52
F 1.4.1 F
6. F 1.4.1 F
7. F 1.4.2 F
2
1. F 1.4.2 F F
2. F 1.4.3 F F F
F F F F F
3. F
4. F 1 F F F F
F
4. 4. F/ F F
1. F F F 1
2.
3.
4. 1.4.1, 1.4.2 1.4.3
5.
1.
2.
3. F
1. F F 60 %
2. F F 60 %
10. 1.4.2
1. F F F F F7 F F
F F F 7 . ∴ = 7 ÷ 2 = 3.5 .
F F 3.5 .
∴ F = 2πr
= 2π × 3.5
= 7π
F F F 7π
2. F 22
F = 2πr
22 = 2 × 22 × r
7
∴ r = 22×7
22×2
= 3.5
= 4 × 22 × 3.53
3 7
= 179 32
F 179 2 3 F