Question

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

Answer 1

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Answer 2

Step-by-step explanation:

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}=10cm=220=10cm

We know that,

The slant height of a cone, l=\sqrt{r^{2}+h^{2}}l=r2+h2

Squaring both sides, we get

⇒ l^2=r^{2}+h^{2}l2=r2+h2

⇒ h^2=l^{2}-r^{2}h2=l2−r2

⇒ h^2=26^{2}-10^{2}h2=262−102

Using identity,

a^{2}-b^{2}=(a+b)(a-b)a2−b2=(a+b)(a−b)

⇒ h^2=(26+10)(26-10)h2=(26+10)(26−10)

⇒ h^2=36\times 16=576h2=36×16=576

⇒ h^2=24^2h2=242

⇒ h = 24 cm

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