Cylinders & Cones © T Madas.

Παρουσίαση με θέμα: "Cylinders & Cones © T Madas."— Μεταγράφημα παρουσίασης:

1 Cylinders & Cones © T Madas

2 Volume of a Cylinder © T Madas

3 π π π π Calculate the volume of these cylinders V = r 2 h V = r 2 h
10 cm 5 m 22 m 40 cm V = r 2 x h V = r 2 x h π π V = x 102 x 40 V = x 52 x 22 π π V ≈ 12566 cm3 [n. w. n.] V ≈ 1728 m3 [n. w. n.] © T Madas

4 π π π π Calculate the volume of these cylinders V = r 2 h V = r 2 h
12 cm 4 m 18 m 35 cm V = r 2 x h V = r 2 x h π π V = x 122 x 35 V = x 42 x 18 π π V ≈ 15834 cm3 [n. w. n.] V ≈ 905 m3 [n. w. n.] © T Madas

5 π π π π Calculate the volume of these cylinders V = r 2 h V = r 2 h
11 cm 2 m 6 m 42 cm V = r 2 x h V = r 2 x h π π V = x 112 x 42 V = x 22 x 6 π π V ≈ 15966 cm3 [n. w. n.] V ≈ 75 m3 [n. w. n.] © T Madas

6 Surface Area of a Cylinder © T Madas

7 π π π π Calculate the Surface Area of these Cylinders S = 2 r h + 2
10 cm 5 m 22 m 40 cm S = 2 r h + 2 r 2 h + 2 r 2 π π S = 2 r π π S = 2 x 10 x 40 + 2 x 102 S = x 22 + 2 x 52 x π x π 2 x 5 x π x π S ≈ + 628.32 S ≈ 691.15 + 157.08 S ≈ 3142 cm2 [n. w. n.] S ≈ 848 m2 [n. w. n.] © T Madas

8 π π π π Calculate the Surface Area of these Cylinders S = 2 r h + 2
17 cm 4 m 14 m 38 cm S = 2 r h + 2 r 2 h + 2 r 2 π π S = 2 r π π S = 2 x 17 x 38 + 2 x 172 S = x 14 + 2 x 42 x π x π 2 x 4 x π x π S ≈ + S ≈ 351.86 + 100.53 S ≈ 5875 cm2 [n. w. n.] S ≈ 452 m2 [n. w. n.] © T Madas

9 π π π π Calculate the Surface Area of these Cylinders S = 2 r h + 2
15 cm 9 mm 24 mm 50 cm S = 2 r h + 2 r 2 h + 2 r 2 π π S = 2 r π π S = 2 x 15 x 50 + 2 x 152 S = x 24 + 2 x 92 x π x π 2 x 9 x π x π S ≈ + S ≈ + 508.94 S ≈ 6126 cm2 [n. w. n.] S ≈ 1866 mm2 [n. w. n.] © T Madas

10 Volume of a Cone © T Madas

11 π π Calculate the volume of these cones V = r 2 h V = r 2 h = = ≈ ≈
9 cm 8 cm 6 cm 4 cm V = 1 3 r 2 h V = 1 3 r 2 h π π 1 3 = x π x 62 x 8 1 3 = x π x 42 x 9 ≈ 302 cm3 ≈ 151 cm3 © T Madas

12 π π Calculate the volume of these cones V = r 2 h V = r 2 h = = ≈ ≈
19 mm 14 m 9 mm 4 m V = 1 3 r 2 h π V = 1 3 r 2 h 1 3 π = x π x 92 x 19 1 3 = x π x 42 x 14 ≈ 1612 mm3 ≈ 235 m3 © T Madas

13 π π Calculate the volume of these cones V = r 2 h V = r 2 h = = ≈ ≈
9 cm 12 cm 5 cm 3 cm V = 1 3 r 2 h π V = 1 3 r 2 h 1 3 π = x π x 52 x 9 1 3 = x π x 32 x 12 ≈ 236 cm3 ≈ 113 cm3 © T Madas

14 Surface Area & Volume of a Cylinder © T Madas

15 π π π π V = r 2 h V = V ≈ 12566 cm3 S = 2 r h + 2 r 2 S = 2 + 2 S ≈
Calculate the volume and the surface area of this cylinder 10 cm V = r 2 x h π V = x 102 x 40 π 40 cm V ≈ 12566 cm3 [n. w. n.] S = 2 r h + 2 r 2 π π S = 2 x 10 x 40 + 2 x 102 x π x π S ≈ + 628.32 S ≈ 3142 cm2 [n. w. n.] © T Madas

16 π π π π V = r 2 h V = V ≈ 91609 mm3 S = 2 r h + 2 r 2 S = 2 + 2 S ≈
Calculate the volume and the surface area of this cylinder 18 mm V = r 2 x h π V = x 182 x 90 π V ≈ 91609 mm3 [n. w. n.] 90 mm S = 2 r h + 2 r 2 π π S = 2 x 18 x 90 + 2 x 182 x π x π S ≈ + S ≈ 12215 mm2 [n. w. n.] © T Madas

17 π π π π V = r 2 h V = V ≈ 15.3 m3 S = 2 r h + 2 r 2 S = 2 + 2 S ≈
Calculate the volume and the surface area of this cylinder V = r 2 x h π 1.8 m V = x 1.82 x 1.5 π 1.5 m V ≈ 15.3 m3 [1 d.p.] S = 2 r h + 2 r 2 π π S = 2 x 1.8 x 1.5 + 2 x 1.82 x π x π S ≈ 16.96 + 20.36 S ≈ 37.3 m2 [1 d.p.] © T Madas

18 Volume of Cylinder and Cone © T Madas

19 π π π Calculate the volume of these solids V = r 2 h V = r 2 h V = =
10 cm 40 cm 9 cm 4 cm V = 1 3 r 2 h π V = r 2 x h π 1 3 V = x 102 x 40 = x π x 42 x 9 π V ≈ 12566 cm3 [n. w. n.] ≈ 151 cm3 © T Madas

20 π π π Calculate the volume of these solids V = r 2 h V = r 2 h V = =
12 cm 35 cm 19 mm 9 mm V = r 2 x h π V = 1 3 r 2 h π V = x 122 x 35 π 1 3 = x π x 92 x 19 V ≈ 15834 cm3 [n. w. n.] ≈ 1612 mm3 © T Madas

21 π π π Calculate the volume of these solids V = r 2 h V = r 2 h V = V ≈
11 cm 42 cm 14 m 4 m V = r 2 x h π V = 1 3 r 2 h π V = x 112 x 42 π 1 3 V ≈ 15966 cm3 [n. w. n.] = x π x 42 x 14 ≈ 235 m3 © T Madas

22 © T Madas