Question

If the height of a frustum of a cone is 8 cm and radii of the
two circular ends are 13 cm and 7 cm then its slant height
is
(a) 6 2.f. (6 cm)
(c) 10 (z.f. (10 cm)
(b) 8 (E.fal. (8 cm)
(d) 12 . F. (12 cm)​

Answer 1

10 cm is Slant height If the height of a frustum of a cone is 8 cm and radii of the two circular ends are 13 cm and 7 cm

Step-by-step explanation:

height of a frustum of a cone is 8 cm

radii of the two circular ends are 13 cm and 7 cm

7/13  = h/(8 + h)

=> 56 + 7h  = 13h

=> 6h = 56

=> h = 28/3

8 + 28/3  =  52/3

= √13²  + (52/3)²

= 65/3

(65/3 - L)/(65/3)  =  7/13

=> (65 - 3L)/65  = 7/13

=> 65 - 3L = 35

=> 3L = 30

=> L = 10

Slant height  = 10

10 cm is Slant height

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