Calculate the volume of a cylinder with radius 3 cm and height 10 cm. (Leave answer in terms of $\pi$).
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A ladder 5 m long is leaning against a vertical wall. The foot of the ladder is 2 m away from the base of the wall. (a) Calculate how high up the wall the ladder reaches. [4 marks] (b) If the ladder slips and the foot moves 1 m further away from the wall, how much lower does the top of the ladder rest? [6 marks] (c) Calculate the area of the triangle formed by the wall, ground, and ladder in scenario (b). [5 marks] Calculate the volume of a cylinder with radius