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Home » Taking reciprocals (since all terms are positive): - American Beagle Club

Taking reciprocals (since all terms are positive): - American Beagle Club

📅 February 27, 2026 👤 scraface

Feb 27, 2026

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📌 A cone has a base radius of 4 cm and a height of 9 cm. Calculate its volume.

📌 The volume \( V \) of a cone is given by \( V = \frac{1}{3} \pi r^2 h \).

📌 Substituting the values, \( V = \frac{1}{3} \pi (4)^2 (9) = \frac{1}{3} \pi \times 144 = 48\pi \approx 150.8 \) cubic centimeters.

📌 #### 150.8

📌 A quadratic equation \( ax^2 + bx + c = 0 \) has roots 3 and -2. If \( a = 1 \), find the values of \( b \) and \( c \).

📌 From Vieta's formulas, the sum of the roots \( -\frac{b}{a} = 3 + (-2) = 1 \), so \( b = -1 \).

📌 The product of the roots \( \frac{c}{a} = 3 \times (-2) = -6 \), so \( c = -6 \).

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