Find the slant height of a frustum cone whose top radius is 14 in and bottom radius is 2 in. The height of the cone is 9 in.

15 in

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12 in

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10 in

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14 in

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Solution

The correct option is A 15 in
Slant height, $L^{2} = h^{2} + (R - r)^{2}$
$L^{2} = 9^{2} + (14 - 2)^{2}$
$L^{2} = 81 + 144$
$L^{2} = 225$
Squaring on both sides, we get
L = 15 in

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Find the slant height of a frustum cone whose top radius is 14 in and bottom radius is 2 in. The height of the cone is 9 in.

The correct option is A 15 inSlant height, L2=h2+(R−r)2L2=92+(14−2)2L2=81+144L2=225Squaring on both sides, we getL = 15 in

The correct option is A 15 in
Slant height, $L^{2} = h^{2} + (R - r)^{2}$
$L^{2} = 9^{2} + (14 - 2)^{2}$
$L^{2} = 81 + 144$
$L^{2} = 225$
Squaring on both sides, we get
L = 15 in