Question

A cylindrical tank has the total surface area of 50,600 cm square.find the height of the tank if its radius is 70 cm​

Answer 1

Answer:

50

Step-by-step explanation:

Let h be the height of cylinder.

Given that r= radius= 5 cm

Total surface area=165 Let h be the height of cylinder.

Medium

Answer

Radius=

2

7

cm

Volume:

7

22

×

2

7

×

2

7

×h=770

⇒h=50m

Answer 2

★ Given:

TSA of cylinder = 50,600 cm²

Radius = 70 cm

★ To Find:

The height of the tank.

★ Solution:

TSA of cylinder formula = 2πr (r + h)

Substituting the values:

$\sf{2\times\dfrac{22}{7}\times70(70+h)=50,600cm^2}$

$\sf{=440(70+h)=50,600cm^2}$

$\sf{=30800+440h=50,600cm^2}$

$\sf{440h=19800}$

$\sf{h=\dfrac{19800}{440}$

$\sf{h=45cm}$

Hence the height of the cylindrical tank is 45 cm.

Important Formulae Related to Cylinders:

→ CSA = 2πrh

→ TSA = 2πr (r + h)

→ Volume = πr²h