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    IBHardGeometry & Trigonometry7–9

    A cylindrical jug of radius 55 cm holds water to a depth of 1212 cm. All the water is poured into an empty box with a square base of side 1010 cm. What is the depth of water in the box, in cm?

    Um jarro cilíndrico de raio 55 cm tem água até 1212 cm de altura. Toda a água é vertida para uma caixa vazia de base quadrada com 1010 cm de lado. Qual é a altura da água na caixa, em cm?

    Both containers are drawn in cabinet projection at one scale, so the jug's 10 cm diameter is exactly as wide as the box's base edge. In the jug the water is shaded from the base up to a level marked 12 cm, and a radius of 5 cm is drawn across the bottom. The box, a prism on a square base of side 10 cm, is drawn empty with a question mark above it: its water level is what is being asked for.5 cm12 cm10 cm?

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    Solution

    Step 1 of 3

    1. 1.Water volume: π×52×12=300π\pi \times 5^2 \times 12 = 300\pi cm³