Question - Calculating the Circumference of a Cylinder's Base Given its Volume and Height
Solution:
Diberikan volume silinder \[ V = 12,936 \text{ cm}^3 \] dan tinggi silinder \[ h = 21 \text{ cm} \].
Volume silinder diberikan oleh rumus \[ V = \pi r^2 h \], dan menggunakan nilai \[ \pi = \frac{22}{7} \]
Kita dapat menyelesaikan untuk radius \( r \) dengan cara:
\[ V = \pi r^2 h \]
\[ 12,936 = \frac{22}{7} r^2 \times 21 \]
\[ r^2 = \frac{12,936}{3 \times 22} \]
\[ r^2 = \frac{12,936}{66} \]
\[ r^2 = 196 \]
\[ r = \sqrt{196} \]
\[ r = 14 \text{ cm} \]
Seterusnya, kita hitung lilitan (circumference) tapak silinder yang dinyatakan dengan \( C = 2\pi r \):
\[ C = 2 \times \frac{22}{7} \times 14 \]
\[ C = 88 \]
Jadi, panjang lilitan tapak silinder tersebut ialah \( 88 \text{ cm} \).
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