?Calculate the total surface area of a cone of height 12cm and base radius 5cm. Take π=22/7

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Answer 1 · 2018-06-28T20:28:04

#282.857\ cm^2#

total surface area of a cone of height #h=12#cm and base radius #r=5#cm is given as

#=\text{area of curved surface of cone}+\text{area of circular base}#

#=\pi r\sqrt{r^2+h^2}+\pi r^2#

#=\pi\cdot5\sqrt{5^2+12^2}+\pi\cdot 5^2#

#=22/7\cdot 65+22/7\cdot25#

#=1980/7#

#=282.857\ cm^2#