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Answer Key: Surface Areas and Volumes PYQ

Class: 10 (CBSE) Subject: Mathematics Chapter: 12
BOARD EXAM 2025 (Set 30/6/3)
Q5. If a cone of greatest volume is hollowed from a cylinder, ratio of remaining wood to cone is
  • (A) 1 : 1
  • (B) 1 : 3
  • (C) 2 : 1
  • (D) 3 : 1
Q33. Fermentation tank (cylinder on cone): Total H = 3.3m, Cone H = 1.2m, Diameter = 1m. Find capacity. If liquid is 0.7m from top, find surface area in contact.
Question Figure
Capacity = \(0.625\pi \approx 1.96\) m�.
Surface Area = \(2.05\pi \approx 6.44\) m�.