If the diameter is 12 inches and height be 15 inches then the slant height be 16.15 inches.
Given that the diameter be 12 inches and the height be 15 inches.
We are required to find the length of slant height.
The slant height of an object is basically a distance measured along a lateral face from the base along the "center" of the face.
We are given diameter be 12 inches so we have to first find the radius.
Radius=12/2 (Diameter is equal to twice the radius)
Radius=6 inches
Slant height is given as under:
[tex]l^{2} =r^{2} +h^{2}[/tex]
Slant height=[tex]\sqrt{(6)^{2} +(15)^{2} }[/tex]
=[tex]\sqrt{36+225}[/tex]
=[tex]\sqrt{261}[/tex]
=16.15 inches
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