Question

Find the slant height of a cone, whose base diameter is 24cm and height is 5cm.​

Answer 1

Answer:

Slant height = 13cm

Given:

Base diameter = 24cm

Height of cone = 5cm

Step-by-step explanation:

Base radius = Diameter/2

∴ Radius = 12cm

Let radius be "r" = 12cm

Let height be "h" = 5cm

Let slant height be "l" = ?

We know that,

l² = $\sqrt{r^{2} + h^{2} }$

r² = 12² = 144cm

h² = 5² = 25cm

So,

l² = $\sqrt{144 + 25}$

⇒ l² = 169   ⇔   l = $\sqrt{169}$

→ l = 13

∴ Slant height of cone = 13cm

                    _________________________________________

Answer 2

Answer:

base diameter =24cm

height =5cm

radius =12 cm

formula to find slant height if height and diameter is given

• slant height = under root =l²+r²
• slant height =under root = 12²+5²
• slant height =under root . 144+25
• slang height = under root 169
• slant height =13cm