Question

the curved surface area of a cylinder of height 5cm is 440 cm2. find
(a)radius of the base.
(b)volume of cylinder​

Answer 1

Answer:

$curved \: surface \: area \: of \: the \: cylinder = 440 {cm}^{2} \\ height \: of \: cylinder = 5cm \: \: ...( given) \\ \\ curved \: surface \: area \: of \: the \: cylinder = 2\pi rh \\ 440 = 2 \times \frac{22}{7} \times r \times 5 \\ 440 = \frac{44}{7} \times r \times 5 \\ 440 \times 7 = 44 \times 5 \times r \\ 3080 = 220 \times r \\ \frac{3080}{220} = r \\ r = 14 cm\\ \\ \\ volume \: of \: the \: cylinder \: = \pi {r}^{2} h \\ = \frac{22}{7} \times ({14}^{2} ) \times 5 \\ = \frac{22}{7} \times 196 \times 5 \\ = 22 \times 28 \times 5 \\ = 3080 {cm}^{3}$

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