A conical cavity is drilled in a solid circular cylinder of 7 cm height and 48 cm base diameter. The height and base diameter of the cone are the same as those of the cylinder. What is the total surface area of the remaining solid?
Show answer & explanation
Correct answer: D
Explanation
The correct answer is option 4 i.e 1512π cm2.
Slant height = √(radius² + height²) = √(24² + 7²) = √(576 + 49) = √625 = 25 cm
Curved surface of cylinder = 2 × π × 24 × 7 = 336π
Base of cylinder = π × 24² = 576π
Curved surface of cone = π × 24 × 25 = 600π
Total surface area = 336π + 576π + 600π = 1512π