s] The shape of a 20-cm tall flower vase is given by rotatinga curve about the-x \text {-axis for } x \in[0,20] . \text { This curve consists of the graph of } f(x)=5+\frac{1}{2} \sqrt{x} \text { for } x \in[0,16]-\text { and the graph of } g(x)=\frac{1}{8}(x-16)^{2}+7 \text { for } x \in[16,20] . \text { Lengths are measured in } \mathrm{cm} \text { and }-the base of the vase is at x = 0.-(a) Show the shape of the vase by sketching the graphs of f(x) and g(x) in the respectiveintervals given above.-What is the radius at the top of the vase? What is the radius at the base?-(b) Find the volume of the vase, showing your working.

Advanced Mathematics(Mathematics)

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