Question

The CSA of cylinder is 200π cm2. If the
radius of cylinder 5 cm. Find the height of
cylinder?​

Answer 1

We have,

Total surface area of cylinder =200π cm

2

r=5 cm

We know that total surface area of cylinder

=2πr(r+h)

So,

2π×5(5+h)=200π

5(5+h)=100

5+h=20

h=15 cm

So, the sum of the r and h

r+h=5+15=20 cm

Answer 2

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$\: \: \: \: \sf{ curved \: surface \: area \: = 200π {cm}^{2} }$

$\: \: \: \: \: \: \: \: \sf{radius \: of \: cylinder \: = 5\: cm}$

$\: \: \: \: \: \: \: \: \: \: \: \sf{height \: of \: cylinder \: = \: ?}$

$\: \: \: \: \: \: \: \: \: \: \pink{\boxed { \sf{csa \: of \: cylinder \: = 2\pi rh}}}$

$\: \: \: : ⟹ \: \: \: \: \: \sf {\: 2\pi rh = 200π}$

$\: \: \: \: \: \: \: : ⟹ \sf{2 \times 5 \times h = 200}$

$\: \: \: \: \: \: \: \: \: \: \: \: \: : ⟹ \: \: \sf{h = \frac{200}{10} }$

$\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: : ⟹ \sf{ h = 20 \: cm}$