Question

A cone has a base diameter of 14cm and a slant height of 25cm. Find its height​

Answer 1

Answer:

24cm

Step-by-step explanation:

Given :

   base diameter of cone, d = 14 cm

   so, radius of cone, r = 14/2 = 7 cm

   slant height of cone, l = 25 cm

To find :

   height of cone, h = ?

Knowledge required :Pythagoras theorem

The Pythagoras theorem states that in any right triangle, the square of the length of the hypotenuse equals the sum of the squares of the lengths of other two sides of right triangle.

Solution :

In a right circular cone ( as given in figure attached )

→ (slant height)² = (radius)² + (height)²

→ l² = r² + h²

[putting known values]

→ ( 25 )² = ( 7 )² + h²

→ h² = 625 - 49

→ h² = 576

→ h = 24 cm

therefore,

Height of cone is 24 cm .

Answer 2

Answer:

24cm

Step-by-step explanation:

formula of slant height is

formula of slant height is L²=r²+h²

formula of slant height is L²=r²+h²here l=25

formula of slant height is L²=r²+h²here l=25 b=7

formula of slant height is L²=r²+h²here l=25 b=7 h=?

apply in the formula

(25)²=(7)²+(h)2

625=49+(h)²

635-49=(h)²

576=(h)²

√576=h

h=24