Question

find the height of a cone of base radius 6cm and height 8cm​

Answer 1

Correct Question:-

• Find the slant height of a cone of base radius 6 cm and height 8 cm.

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Given:-

• Radius of base is 6 cm.
• Height is 8 cm.

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To find:-

• The slant height of the cone.

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Solution:-

★Formula used:-

$\star{\boxed{\sf{\orange{l = \sqrt{r^2 + h^2}}}}}$

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$\tt\longmapsto{l = \sqrt{6^2 + 8^2}}$

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$\tt\longmapsto{l = \sqrt{36 + 64}}$

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$\tt\longmapsto{l = \sqrt{100}}$

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$\tt\longmapsto{\boxed{\red{l = 10}}}$

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Hence,

• the slant height of cone is 10 cm.

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Diagram:-

$\setlength{\unitlength}{1.2mm}\begin{picture}(5,5)\thicklines\put(0,0){\qbezier(1,0)(12,3)(24,0)\qbezier(1,0)(-2,-1)(1,-2)\qbezier(24,0)(27,-1)(24,-2)\qbezier(1,-2)(12,-5)(24,-2)}\put(-0.5,-1){\line(1,2){13}}\put(25.5,-1){\line(-1,2){13}}\multiput(12.5,-1)(2,0){7}{\line(1,0){1}}\multiput(12.5,-1)(0,4){7}{\line(0,1){2}}\put(18,1.6){\sf{6cm}}\put(9.5,10){\sf{8cm}}\end{picture}$