Question

the slant height of a cone is 26cm and its base diameter is 20 cm it's height is​

Answer 1

Answer:

Step-by-step explanation:

Answer 2

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) $=\dfrac{20}{2<strong>}=10cm$

We know that,

The slant height of a cone, $l=\sqrt{r^{2}+h^{2}}$

Squaring both sides, we get

⇒ $l^2=r^{2}+h^{2}$

⇒ $h^2=l^{2}-r^{2}$

⇒ $h^2=26^{2}-10^{2}$

Using identity,

$a^{2}-b^{2}=(a+b)(a-b)$

⇒ $h^2=(26+10)(26-10)$

⇒ $h^2=36\times 16=576$

⇒ $h^2=24^2$

⇒ h = 24 cm

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