Question

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

Answer 1

Slant height (l) = 17 cm

Radius (r) = 8 cm 

But, l² = r² + h² 

`=>` h² = 1² – r² 

`=>` h² = 17² – 8² 

`=>` h² = 289 – 64 = 225 = (15)²

∴ h = 15

Now, volume of cone = `1/3pir^2h` 

= `1/3 xx 22/7 xx 8 xx 8 xx 15  cm^3` 

= `7040/7cm^3` 

= 1005.71 cm³