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Home » Thus, the diameter of the circle is \( 13 \) cm, so the radius \( r \) is: - RTA

Thus, the diameter of the circle is \( 13 \) cm, so the radius \( r \) is: - RTA

📅 May 11, 2026 👤 scraface

May 11, 2026

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Let the original radius be \( r \), so the original height is \( h = 2...
Original volume:
V_1 = \pi r^2 h = \pi r^2 (2r) = 2\pi r^3
New dimensions:
New radius: \( 0.8r \)
New height: \( 1.5 \times 2r = 3r \)
New volume:
V_2 = \pi (0.8r)^2 (3r) = \pi (0.64r^2)(3r) = 1.92\pi r^3
Ratio:
\frac{V_2}{V_1} = \frac{1.92\pi r^3}{2\pi r^3} = 0.96

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