Question

The volume of a cylinder is 2500 pi cm³ and its height is 49 cm.Find the total surface area and lateral surface of the cylinder ​

Answer 1

Total surface area of cylinder = 2519.69 cm²

Lateral surface area of cylinder = 2200 cm²

Step-by-step explanation:

The volume of a cylinder is 2500π cm³

Height of cylinder, h = 49 cm

$\pi r^2h=2500\pi$

$\pi \times r^2\times 49=2500\pi$

$r=\dfrac{50}{7}$

• Total surface area of cylinder, $T=2\pi rh+2\pi r^2$

$T=2\pi\times\dfrac{50}{7}\times 49 +2\pi \times (\dfrac{50}{7})^2$

$T=2519.69\ cm^2$

• Lateral surface area of cylinder, $L=2\pi rh$

$L=2\pi\times \dfrac{50}{7}\times 49$

$L=2200\ cm^2$

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Answer 2

I can't find TSA because my ans of TSA is wrong my ans is 2519.56 and LSA is right

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