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VARVARA [1.3K]
3 years ago
15

Find the missing measure for a right circular cone given the following information.

Mathematics
1 answer:
xxTIMURxx [149]3 years ago
6 0
<h2>Answer:</h2>

The radius of the cone is:

          r=\dfrac{2}{\sqrt{\pi}}

<h2>Step-by-step explanation:</h2>

The total area of cone is given by:

T.A.=\pi r(l+r)=\pi rl+\pi r^2=12---------(1)

where r is the radius of the cone and l is the slant height of the cone.

and the lateral area of cone is given by:

L.A.=\pi rl=8---------(2)

Hence, from equation (1) and (2) we have:

 8+\pi r^2=12\\\\\\i.e.\\\\\\\pi r^2=4

i.e.

r^2=\dfrac{4}{\pi}

i.e.

r=\dfrac{2}{\sqrt{\pi}}

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