Question

17. THE SLANT HEIGHT OF A CONE
WITH RADIUS 15cm AND HEIGHT IS
20cm.
*​

Answer 1

Step-by-step explanation:

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Answer 2

Answer:

slant height = 25 cm

Step-by-step explanation:

Given,

• radius of the cone, r = 15 cm
• height of the cone, h = 20 cm

To find,

• slant height of the cone, l = ?

Solution,

$\setlength{\unitlength}{1.2mm}\begin{picture}(5,5)\thicklines\put(0,0){\qbezier(1,0)(12,3)(24,0)\qbezier(1,0)(-2,-1)(1,-2)\qbezier(24,0)(27,-1)(24,-2)\qbezier(1,-2)(12,-5)(24,-2)}\put(-0.5,-1){\line(1,2){13}}\put(25.5,-1){\line(-1,2){13}}\multiput(12.5,-1)(2,0){7}{\line(1,0){1}}\multiput(12.5,-1)(0,4){7}{\line(0,1){2}}\put(18,1.6){\sf{r}}\put(9.5,10){\sf{h}}\put(21,12){\sf{l}}\end{picture}$

Slant height,  $\sf l=\sqrt{r^2+h^2}$

Put

• r = 15 cm
• h = 20 cm

l = √(20² + 15²)

l = √(400 + 225)

l = √625

l = √25²

l = 25 cm

Therefore, the slant height of the cone = 25 cm

Formulae related to CONE :

• Area of base = πr²
• Curved Surface Area = πrl
• Total Surface Area = πr² + πrl = πr(r + l)
• Volume = ¹/₃ πr²h
• Slant height = √(r² + h²)