Your Practice Paper – Applications and Interpretation SL for IBDP Mathematics

� For a cylinder of height h and radius r : 1 .

2

2�r � 2

�rh : Total surface area

2 . 2� rh : Lateral surface area

3 . �

2 rh

: Volume

� For a pyramid of height h and base area A : 1 .

1

Ah : Volume

3

� For a circular cone of height h and radius r : 1 . 2 .

2 2 l � r � h : Slant height

�r 3 . � rl

4 .

2

1 ^�

2

3 ^rh

� �rl

: Total surface area : Curved surface area

^{: Volume}

� For a sphere of radius r : 1 .

2

4� r : Total surface area

4 3

2 .

3 ^{� r : Volume}

� For a hemisphere of radius r : 1 . 2 .

3 .

2

3� r : Total surface area

2

2� r : Curved surface area

2 3 ^{� r}

3

^{: Volume}

dy

� � f�( x) : Derivative of the function y � f ( x)

( First derivative ) dx

� Rules of differentiation : 1 . f ( x) � x ⁿ � f �( x)

� nx ^�

n 1

10

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