radius of a cylinder with dimensions r – Discussion Forum

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Kriti

Asked: October 7, 2026In: Class 9 Maths

What is the change in volume when: (i) The length of a cuboid with dimensions l, w, h is increased by 1 unit? (a) 1 cubic unit (b) (lwh + 1) cubic unit (c) wh cubic units (d) lw cubic units (e) lh cubic units (ii) The radius of a cylinder with dimensions r, h is increased by 1 unit? (a) 1 cubic unit (b) πr²h cubic units (c) πr² cubic units (d) 2πrh + 2πh cubic units (e) 2πrh + πh cubic units (iii) The radius of a sphere is decreased by 1 unit?

(i) Option (c): New volume (l + 1)wh minus original lwh gives wh cubic units. (ii) Option (e): π(r + 1)²h − πr²h = 2πrh + πh cubic units. (iii) Volume decreases by (4/3)π(3r² − 3r + 1) cubic units. Ganita Manjari Part ...