Question

If the radius and CSA of cylinder are 14 cm and 792 cm^2 respectively.
Find the height of the cylinder.



plz solve it's urgent​

Answer 1

Radius of the cylinder (r) = 14cm

CSA of the cylinder = 792 cm^2

Let height of the cylinder be h cm

$we \: know \: that \: \\ csa \: of \: cylinder \: = 2 \: \pi\:r \:h \\ = > 792 = 2 \times \frac{22}{7} \times 14 \times h \\ = > 792 = 2 \times 22 \times 2 \times h \\ = > 792 = 88 \times h \\ = > \frac{792}{88} = h \\ = > h = 9cm$

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Answer 2

Given:-

• Radius of a cylinder = 14cm
• CAS of cylinder = 792 cm²

To Find:-

• Height of the cylinder

Solution:-

Let the height of the cylinder be "h" and radius of

the cylinder be"r".

Radius of cylinder (r) = 14cm

CAS of cylinder = 792cm²

Formulae for CAS of cylinder is given by,

$\implies \sf {csa = 2\pi \: rh}$

By substituting the values we have,

$\implies792 = 2 \times \frac{22}{7} \times 14 \times \sf {h}$

$\implies792 = 2 \times 22 \times \sf{h}$

$\implies792 = 88 \times \sf{h}$

$\implies \sf{h} = \frac{792}{88}$

$\implies \sf{h} = 9 \sf{cm}$

Hence, The Height of the cylinder is 9 cm.