Digital SAT Math Practice Question #1307
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Multiplier trick: Radius squared multiplier is $(1.5)^2 = 2.25$. Height multiplier is $0.5$. Total volume multiplier is $2.25 \times 0.5 = 1.125 \implies +12.5\%$.
Original volume: $V_1 = \pi r^2 h = \pi(4^2)(9) = 144\pi$. New radius: $r_2 = 4 \times 1.5 = 6$. New height: $h_2 = 9 \times 0.5 = 4.5$. New volume: $V_2 = \pi (6^2)(4.5) = \pi(36)(4.5) = 162\pi$. Fractional change: $(162\pi - 144\pi) / 144...
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