Math, asked by prabh236, 10 months ago

find the curve surface area of a cone with a vertical height of 8cm and radius of 6cm​

Answers

Answered by karanchy33
5

Answer:

first finding slant height

Step-by-step explanation:

may be right

Attachments:
Answered by Anonymous
6

Answer:

\bullet\:\:\textsf{Radius of the cone = \textbf{6 cm}} \\  \\

\bullet\:\:\textsf{Height of the cone = \textbf{8 cm}} \\  \\

___________________

\underline{\boldsymbol{According\: to \:the\: Question\:now :}} \\

\sf \bigstar \:\: Slant  \: height \:(l) = \sqrt{r^2 + h^2}\:\:\bigstar  \\  \\

:\implies \sf Slant  \: height = \sqrt{(6)^2 + (8)^2} \\  \\  \\

:\implies \sf Slant  \: height = \sqrt{36+ 64} \\  \\  \\

:\implies \sf Slant  \: height = \sqrt{100} \\  \\  \\

:\implies \underline{ \boxed{ \sf Slant  \: height = 10 \: cm}} \\

______________________

\sf \bigstar \:\: CSA  \: of \:cone = \pi rl\:\:\bigstar  \\  \\

\sf \dashrightarrow \:\: CSA  \: of \:cone =  \dfrac{22}{7}   \times 6 \times 10 \\  \\  \\

\sf \dashrightarrow \:\: CSA  \: of \:cone =  \dfrac{1320}{7} \\  \\  \\

\dashrightarrow \underline{ \boxed{ \sf \:\: CSA  \: of \:cone = 188.57 \:  {cm}^{2}  }}   \\  \\  \\

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