Question 2
The height of a cone is 8 cm and the diameter of the base is 12 cm. find slant height
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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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