Question

curved surface area of a cylinder is 1980 CM square and radius of its base is 15 cm find the height of the cylinder

Answer 1

CSA= 1980cm
radius=15cm
CSA of cylinder = 2πrh
2×22/7*×15×h=1980
h=1980×1/2/×7/22×1/15
therefore,
h=21cm

Hope it will help u

Answer 2

Answer:

$Height \:of \: the \: cylinder = 21 \:cm$

Step-by-step explanation:

$Radius \: of \: the \: base \\of \: a \: cylinder (r) = 15\:cm\\Let \: the \: height = h \:cm$

$We \:know \:that,\\\boxed {Curved \: surface\:Area \:of \: a \: cylinder(CSA)\\ = 2\pi rh}$

$CSA = 1980 \:cm^{2}\:(given)$

$\implies 2\times \pi rh=1980$

$\implies 2\times \frac{22}{7} \times 15\times h=1980$

$\implies h = \frac{1980\times 7}{2\times 15\times 22}$

$\implies h = 3\times 7\\=21 cm$

Therefore,.

$Height \:of \: the \: cylinder = 21 \:cm$

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