Find curved surface area of a cylinder having r = x cm and h = y cm.
A) 2πx (x + y)
B) πx2y
C) πxy
D) 2πxy
Answered Feb 05, 2023
Correct option is (D) 2πxy
Curved surface area of cylinder \(=2\pi rh\)
\(=2\pi xy\,cm^2\) \((\because\) r = x cm & h = y cm)
Correct option is D) 2πxy
Correct Answer - (i) `432 cm^(3), 180 cm^(2), 372 cm^(2)` (ii) `2366 m^(3), 520m^(2), 1248 m^(2)` (iii) `45 m^(3), 21 m^(2), 201 m^(2)` (iv) `36m^(3), 291 m^(2), 303 m^(2)`
Correct Answer - (i) 1m (ii) `1.54 m^(3)`
Correct Answer - `269.5 cm^(3)`
Correct Answer - `1078 cm^(3)`
CSA (cone) = πrl = 12320 \(\frac{22}{7}\) × 56 × l = 12320 l = 70 cm h = \(\sqrt{70^2-56^2}\) = 42 cm
Correct option is (C) 48 cm2 \(\therefore\) Curved surface area of formed cylinder = Area of rectangular sheet = 12 \(\times\) 4 \(=48\,cm^2\)
Correct option is (B) 2π xy cm2 r = x cm & h = y cm \(\therefore\) Curved surface area of cylinder \(=2\pi rh\) = \(2\pi\,xy\,cm^2\)
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