Therefore, radius r, of the base of the cone = 6 cm

Vertical height h of the cone = 8 cm

Slant height of the cone is the hypotenuse of a right triangle, whose two other sides are vertical height h of the cone, and radius r of the base. From Pythagoras theorem

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Step-by-step explanation:Please make me brainest

Step-by-step explanation:## Perimeter of the base (= 2π r) = 12 π cm

## Therefore, radius r, of the base of the cone = 6 cm

## Vertical height h of the cone = 8 cm

## Slant height of the cone is the hypotenuse of a right triangle, whose two other sides are vertical height h of the cone, and radius r of the base. From Pythagoras theorem

## r² + h² = (slant height)²; ==> 6² +8²= (slant height)²;

## ==> Slant height² = 36 + 64 = 100 cm²

## Therefore,

## Slant height = 10 cm.

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