The ratio of the radius and height of a cylinder is 3 : 2. The radius is 21 cm, then Lateral Surface Area (LSA) = ……… cm^2 A) 2043
The ratio of the radius and height of a cylinder is 3 : 2. The radius is 21 cm, then Lateral Surface Area (LSA) = ……… cm2
A) 2043
B) 1949
C) 1848
D) 1948
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Correct option is: C) 1848
Given that \(\frac rh = \frac 32 \) and r = 21 cm
\(\therefore\) h = \(\frac 23 r = \frac 23 \times 21 = 14 \, cm\)
\(\therefore\) LSA of cylinder = \(2 \pi rh\)
= \(2 \times \frac {22}7 \times 21 \times 14 = 44 \times 42= 1848 \, cm^2\)
Hence, the lateral surface area of cylinder is 1848 \(cm^2\)
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