Math, asked by thotasiri, 9 months ago

The slant height and radius of a cone are 10cm and 8cm respectively then its height is
A) O 4cm
B) 5cm
C) 6cm
D) 8cm​

Answers

Answered by nevilparekh06
0

4 cm done ok man bhai why 20 character

Answered by mysticd
0

 \underline {\pink{ Dimensions \:of \:a \:cone :}}

 Slant \: height (l) = 10 \:cm

 Radius (r) = 8 \:cm

 Let \: the \:height = h \:cm

 \boxed{\blue{ h = \sqrt{l^{2} - r^{2}} }}

 h = \sqrt{ 10^{2} - 8^{2}}

 \implies h = \sqrt{ 100 - 64 }

 \implies h = \sqrt{ 36 }

 \implies h = \sqrt{ 6^{2} }

 \implies h = 6 \:cm

Therefore.,

 \red{ Height \: of \:the \:cone } \green { = 6 \:cm }

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