Please answer a-i on number 9

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130005401

05.12.2021

Mathematics

100πcm².None of the options is correct

Step-by-step explanation:

Total surface area of a cone = $\pi r^{2}+\pi rl\\$

Since the diagram is half of a cone, its surface area will be $S = \frac{\pi r^{2} +\pi rl}{2}$

r = radius of the cone

l = slant height

From the diagram diameter of the cone = 16m;

r = 16/2 = 8m

l = 17m

$S = \frac{\pi (8)^{2} +\pi (8)(17)}{2}\\S = \frac{64\pi + 136\pi }{2} \\S = 32\pi + 68\pi \\S = 100\pi cm^{2}$

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