Question

9. The slant height of a cone is 26 cm and base diameter is 20 cm. Its height is
(a) 24 cm (b) 25 cm (c) 23 cm (d) 35 cm​

Answer 1

Answer:

The height of cone(h) = 24 cm

Step-by-step explanation:

Given,

The slant height of a cone(l) = 26cm and

The base diameter of a cone(d) = 20 cm

To find, the height of a cone(h) = ?

The radius of a cone(r)

We know that,

The slant height of a cone,

Squaring both sides, we get

⇒

⇒

⇒

Using identity,

⇒

⇒

⇒

⇒ h = 24 cm

Hence, the height of cone(h) = 24 cm

Answer 2

Answer:

option a)24 cm is correct

Step-by-step explanation:

Given

The slant height of a cone(l) = 26 cm

The base diameter of a cone(d) = 20 cm

To find : the height of a cone(h) = ?

The radius of a cone(r) = 20/2 = 10 cm

We know that,

The slant height of a cone l = √r² + √h² Squaring both sides, we get

l² = r² + h²

h² = l²–r²

h² = (26)²–(10)²

h² = 676 – 100

h² = 576

h = √576

h = 24

⇒ h = 24 cm

Hence,the height of cone(h)=24cm

hope it helps you....