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Find the total surface area of a solid circular cone with base radius 3 cm...

Mathematics
WAEC 2025

Find the total surface area of a solid circular cone with base radius 3 cm and slant height 4 cm. [Take π = \(\frac{22}{7}\)]

  • A. 66 cm\(^2\)
  • B. 37\(\frac{5}{7}\)cm\(^2\)
  • C. 75\(\frac{3}{7}\)cm\(^2\)
  • D. 78\(\frac{6}{7}\)cm\(^2\)
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Correct Answer: Option A
Explanation

Total surface area of cone = πrl + πr\(^2\) = πr(l + r) r = 3 and l = 4

Area = \(\frac{22}{7}\) × 3 (4 + 3) = \(\frac{22}{7}\) × 3 × 7 = 66 cm\(^2\)


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Post-UTME Past Questions - Original materials are available here - Download PDF for your school of choice + 1 year SMS alerts
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