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Answer:
The Lateral Surface Area is 911.32 square unit and
Total Surface Area is 1361.7 square unit.
Step-by-step explanation:
For a given Cone
Radius (r) = 12
Height (h) = 21
For Lateral Surface Area
A = πr√r² + h²
A = 3.14 × 12 × √(12)² + (21)²
A = 3.14 × 12 × √144 + 441
A = 3.14 × 12 × √585
A = 37.68 × 24.18
A = 911.32 square unit
Now,
For Total Surface Area
A = πrl + πr²
For Slant height (l)
l² = r² + h²
l² = (12)² + (21)²
l² = 144 + 441
l² = 585
l = 24.18
So,
A = πrl + πr²
A = πr(l + r)
A = 3.14 × 12 × (24.14 + 12)
A = 3.14 × 12 × 36.14
A = 1361.7 square unit
Thus, The Lateral Surface Area is 911.32 square unit and Total Surface Area is 1361.7 square unit.
-TheUnknownScientist