by: apollo zhang and ben houtman. to teach you guys how to calculate the surface area and volume for...

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EXAMPLES TO HELP YOU By: Apollo Zhang and Ben Houtman

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A = 1 cm B = 4 cm

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Page 1: By: Apollo Zhang and Ben Houtman. To teach you guys how to calculate the surface area and volume for cones and cylinders

EXAMPLES TO HELP YOU

By: Apollo Zhang and

Ben Houtman

Page 2: By: Apollo Zhang and Ben Houtman. To teach you guys how to calculate the surface area and volume for cones and cylinders

Objective:

To teach you guys how to calculate the surface area and volume for cones and cylinders.

Page 3: By: Apollo Zhang and Ben Houtman. To teach you guys how to calculate the surface area and volume for cones and cylinders

Example 1Find the Surface Area:

A = 1 cmB = 4 cm

Page 4: By: Apollo Zhang and Ben Houtman. To teach you guys how to calculate the surface area and volume for cones and cylinders

Example 1Find the Surface Area:

A = 1 cmB = 4 cm

Formula: πr2 + πrs

Page 5: By: Apollo Zhang and Ben Houtman. To teach you guys how to calculate the surface area and volume for cones and cylinders

Example 1Find the Surface Area:

A = 1 cmB = 4 cm

Formula: πr2 + πrs A = radius

B = height

Page 6: By: Apollo Zhang and Ben Houtman. To teach you guys how to calculate the surface area and volume for cones and cylinders

Example 1Find the Surface Area:

A = 1 cmB = 4 cm

Formula: πr2 + πrs A = radius

B = height

S = square root Of h2 and r2

Page 7: By: Apollo Zhang and Ben Houtman. To teach you guys how to calculate the surface area and volume for cones and cylinders

Example 1Find the Surface Area:

A = 1 cmB = 4 cm

Formula: πr2 + πrs A = radius

B = height

S = square root Of h2 and r2

S = sq root of 2 + 16

Page 8: By: Apollo Zhang and Ben Houtman. To teach you guys how to calculate the surface area and volume for cones and cylinders

Example 1Find the Surface Area:

A = 1 cmB = 4 cm

Formula: πr2 + πrs A = radius

B = height

S = square root Of h2 and r2

S = sq root of 2 + 16

S = 4.24

Page 9: By: Apollo Zhang and Ben Houtman. To teach you guys how to calculate the surface area and volume for cones and cylinders

Example 1Find the Surface Area:

A = 1 cmB = 4 cm

Formula: πr2 + πrs A = radius

B = height

S = 4.24

πr2 + πrs= (3.14)12 +(3.14)(4)(4.24)

Page 10: By: Apollo Zhang and Ben Houtman. To teach you guys how to calculate the surface area and volume for cones and cylinders

Example 1Find the Surface Area:

A = 1 cmB = 4 cm

Formula: πr2 + πrs A = radius

B = height

S = 4.24

πr2 + πrs= 6.28 + 53.25

Page 11: By: Apollo Zhang and Ben Houtman. To teach you guys how to calculate the surface area and volume for cones and cylinders

Example 1Find the Surface Area:

A = 1 cmB = 4 cm

Formula: πr2 + πrs A = radius

B = height

S = 4.24

πr2 + πrs= 6.28 + 53.25

A = 59.53

Page 12: By: Apollo Zhang and Ben Houtman. To teach you guys how to calculate the surface area and volume for cones and cylinders

Example 1Find the Surface Area:

A = 1 cmB = 4 cm

Formula: πr2 + πrs A = radius

B = height

S = 4.24

πr2 + πrs= 6.28 + 53.25

A = 59.53 cm3

Page 13: By: Apollo Zhang and Ben Houtman. To teach you guys how to calculate the surface area and volume for cones and cylinders

Example 2 Find the Surface Area:Formula =

2πr2 + 2πrh

a = 6b = 16

Page 14: By: Apollo Zhang and Ben Houtman. To teach you guys how to calculate the surface area and volume for cones and cylinders

Example 2 Find the Surface Area:Formula =

2πr2 + 2πrh

a = 6 mb = 16 m

Height = 6 Radius = ½ of diameter (8)

Page 15: By: Apollo Zhang and Ben Houtman. To teach you guys how to calculate the surface area and volume for cones and cylinders

Example 2 Find the Surface Area:Formula =

2πr2 + 2πrh

a = 6 mb = 16 m

Height = 6 Radius = ½ of diameter (8)

2πr2 + 2πrh= 2(3.14)(8)2 + 2(3.14)(8)(6)

Page 16: By: Apollo Zhang and Ben Houtman. To teach you guys how to calculate the surface area and volume for cones and cylinders

Example 2

Find the Surface Area:Formula = 2πr2 + 2πrh

a = 6 mb = 16 m

Height = 6 Radius = ½ of diameter (8)

2πr2 + 2πrh= 2(3.14)(8)2 + 2(3.14)(8)(6)

= 401.92 + 301.44

Page 17: By: Apollo Zhang and Ben Houtman. To teach you guys how to calculate the surface area and volume for cones and cylinders

Example 2

Find the Surface Area:Formula = 2πr2 + 2πrh

a = 6 mb = 16 m

Height = 6 Radius = ½ of diameter (8)

2πr2 + 2πrh= 2(3.14)(8)2 + 2(3.14)(8)(6)

= 401.92 + 301.44A = 703.36 m3

Page 18: By: Apollo Zhang and Ben Houtman. To teach you guys how to calculate the surface area and volume for cones and cylinders

Example 3 Find the Volume:

Formula: r2 h

a = 4.8 cm b = 6 cm

Radius: 4.8Height: 6

Page 19: By: Apollo Zhang and Ben Houtman. To teach you guys how to calculate the surface area and volume for cones and cylinders

Example 3 Find the Volume:

Formula: r2 h

a = 4.8 cm b = 6 cm

Radius: 4.8Height: 6

πr2 h= (3.14)(4.82)(6)

Page 20: By: Apollo Zhang and Ben Houtman. To teach you guys how to calculate the surface area and volume for cones and cylinders

Example 3 Find the Volume:

Formula: r2 h

a = 4.8 cm b = 6 cm

Radius: 4.8Height: 6

πr2 h= (3.14)(4.82)(6)

A = 434.07 cm3

Page 21: By: Apollo Zhang and Ben Houtman. To teach you guys how to calculate the surface area and volume for cones and cylinders

Example 4 Find the Volume:

Formula: 1/3πr2h

a = 2.5 mb = 4.1 m

Page 22: By: Apollo Zhang and Ben Houtman. To teach you guys how to calculate the surface area and volume for cones and cylinders

Example 4 Find the Volume:

Formula: 1/3πr2h

a = 2.5 mb = 4.1 m

Height = 4.1Radius = 2.5

Page 23: By: Apollo Zhang and Ben Houtman. To teach you guys how to calculate the surface area and volume for cones and cylinders

Example 4 Find the Volume:

Formula: 1/3πr2h

a = 2.5 mb = 4.1 m

Height = 4.1Radius = 2.5

1/3πr2h= (0.33)(3.14)(2.52)(4.1)

Page 24: By: Apollo Zhang and Ben Houtman. To teach you guys how to calculate the surface area and volume for cones and cylinders

Example 4 Find the Volume:

Formula: 1/3πr2h

a = 2.5 mb = 4.1 m

Height = 4.1Radius = 2.5

1/3πr2h= (0.33)(3.14)(6.25)(4.1)

= 26.55A = 26.55 m3