Math, asked by star00000, 6 months ago

Please please help me
Its urgent..
The height of a cone is 16 cm and the base radius is 12 cm. find slant height of cone.​

Answers

Answered by sahay17
1

Answer:

20cm

Step-by-step explanation:

by using Pythagoras theorem

l=√r2+h2=122+162=20cm

Answered by TheFairyTale
5

Answer:

  • 20 cm

GivEn:

  • The height of a cone is 16 cm
  • The base radius is 12 cm.

To Find :-

  • The slant height of cone

Step-by-step explanation:

Let the slant height of the cone be x cm

The height, base radius and slant height forms a right angle triangle there.

So using the pythagorus theorem,

 \boxed{ \sf{Hypotenuse^{2}  =  Base^{2}   + Height^{2} }}

Here,

  • Hypotenuse = Slant height = x cm
  • Base = Radius = 12 cm
  • height = 16 cm

Now, putting the values,

 \implies \sf \:  {x}^{2}  =  {12}^{2}  +  {16}^{2}

 \implies \sf \: {x}^{2}  =  144 + 256

\implies \sf \: {x}^{2}  = 400

\implies \sf \:x =  \sqrt{400}  = 20

Therefore, the slant height = 20 cm

Similar questions