If the diameter of the base of the cone is 5cm and the height is 12cm, then what is the diagonal height of the cone?
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Step-by-step explanation:
Radius of the cone (r) = 10/2 = 5 cm
Height of the cone (h) = 12 cm
As we know,
l2 = r2 + h2
⇒ l2 = 52 + 122
⇒ l2 = 25 + 144 = 169
⇒ l = √169 = 13 cm
Total surface area of cone = πr(l + r) = π × 5(13 + 5) = π × 5 × 18 = 90π cm2
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