The slant height (l) of a cone is the sq...

The slant height (l) of a cone is the square root of the sum of the squares of its radius (r) and its vertical height (h). If for a cone, l=17cm and `r=15` cm, then find h.

Verified by Experts

`l=sqrt(r^(2)+h^(2))`
Squaring on both sides, we get `l^(2)=r^(2)+h^(2)`
`h^(2)=l l l^(2)-r^(2)=17^(2)-15^(2)=289-225=64`
`hgt0`
`therefore h=8cm`

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