#### Question

Find the volume of a cone whose slant height is 17 cm and radius of base is 8 cm.

#### Solution

Slant height (ℓ) = 17 cm

Radius (r) = 8 cm

But,

`1^2=r^2+h^2`

`⇒ h^2=1^2-r^2`

`⇒ h^2=17^2-8^2`

⇒h^2=289-64=225=(15)^2

∴ h=15

Now, volume of cone = `1/3pir^2h`

=`1/3xx22/7xx8xx8xx15cm^3`

`=7040/7cm^3`

=`1005.71cm^3`

Is there an error in this question or solution?

Solution Find the Volume of a Cone Whose Slant Height is 17 Cm and Radius of Base is 8 Cm. Concept: Area and Volume of Solids - Cone.