Question

16. Height of a cone is 30cm ,its slant height is 34cm,then the radius is ... *

Answer 1

★ Concept:-

Here in this question, concept of cone is used. The question is about finding of radius of cone. We have given the length of slant height and height of cone to be 30 cm and 34 cm respectively. We can find radius by applying particular formula.

So let's start!!

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★ Given:-

• Slant height, l=34cm

• Height,h=30cm

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★ To Find:-

• Radius, r=?

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★ Solution:-

We have formula:-

$\Large{\underline{\boxed{\sf{\red{(Slant \;height)^2=(Height)^2+(Radius)^2}}}}\star$

Now let's put the given parameters in the above formula!!

$\sf \longmapsto (34cm)^2=(30cm)^2+(Radius)^2$

$\sf \longmapsto 1156cm^2=900cm^2+Radius^2$

$\sf \longmapsto 1156cm^2-900cm^2=Radius^2$

$\sf \longmapsto 256cm^2=Radius^2$

$\sf \longmapsto \sqrt{256cm^2}=Radius$

$\sf \longmapsto 16cm=Radius$

∵ The required length of radius is 16cm.

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★ Diagram:-

$\setlength{\unitlength}{1.2mm}\begin{picture}(5,5)\thicklines\put(0,0){\qbezier(1,0)(12,3)(24,0)\qbezier(1,0)(-2,-1)(1,-2)\qbezier(24,0)(27,-1)(24,-2)\qbezier(1,-2)(12,-5)(24,-2)}\put(-0.5,-1){\line(1,2){13}}\put(25.5,-1){\line(-1,2){13}}\multiput(12.5,-1)(2,0){7}{\line(1,0){1}}\multiput(12.5,-1)(0,4){7}{\line(0,1){2}}\put(18,1.6){\sf{r}}\put(22,10){\sf L}\put(9.5,10){\sf{h}}\end{picture}$

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Unable to see diagram? Don't worry open this liñk through browser (opera or chrome).

https://brainly.in/question/35662595

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