the base of a cone with radius 5cm and height 12cm is hemispherical.find the total surface area of the article. (π=3.14)
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Given:
Radius of the cone = 5cm
Height of the cone = 12cm
To Find:
Surface area of the article
Solution:
The curved surface area of a cone = πrl,
where l is the slant height and r is the radius.
Now, Slant height = l² = r² + h²
Thus,
l = √r² + h²
l = √5² + 12²
l = √25 + 144
l = √169
l = 13
Thus, curved surface area = πrl + πr²
= π × 5 × 13 + π × (5)²
= 3.14 × 65 + 3.14 × 25
= 204.1 + 78.5
= 282.6
Answer: Surface area of the article is 282.6 cm
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