Plot a graph of a cone of height 3 and ra- dius 1. Use the parametrization...

   

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Plot a graph of a cone of height 3 and ra- dius 1. Use the parametrization r = r cos0, y =rsin 0, z = 3r: 0≤r≤1, 0≤ 0 ≤ 2π Hint: Use me shgrid to generate a grid on the (r.) domain; on this domain define X, Y, Z according to the given formulas; then surf (X, Y, Z). Plot a graph of a hemisphere with radius 1. Use the parametrization x = r cos 0 sinó, y = rsinsino, z=rcoso; r = 1, 0≤0 ≤2, 0≤ ≤π/2 (c) Combine the ideas of parts (a) and (b) to plot an ice cream cone, similar to the one in the figure. Hint: axis off (d) Experiment with colour and the shading function to give the ice cream a more realistic appearance. Also add some sprinkles to the top. (We plan to have a hall-of-fame on SUNLearn with the ten best looking ice creams.) Plot a graph of a cone of height 3 and ra- dius 1. Use the parametrization r = r cos0, y =rsin 0, z = 3r: 0≤r≤1, 0≤ 0 ≤ 2π Hint: Use me shgrid to generate a grid on the (r.) domain; on this domain define X, Y, Z according to the given formulas; then surf (X, Y, Z). Plot a graph of a hemisphere with radius 1. Use the parametrization x = r cos 0 sinó, y = rsinsino, z=rcoso; r = 1, 0≤0 ≤2, 0≤ ≤π/2 (c) Combine the ideas of parts (a) and (b) to plot an ice cream cone, similar to the one in the figure. Hint: axis off (d) Experiment with colour and the shading function to give the ice cream a more realistic appearance. Also add some sprinkles to the top. (We plan to have a hall-of-fame on SUNLearn with the ten best looking ice creams.)