1.

The area of the base of the cylinder is 44sq.cm and volume are 440cubic cm.Find the height of the cylinder​

Answer»

Given :

  • Area of Base of cylinder is 44 cm²
  • VOLUME of Cylinder is 440 cm³

To Find :

  • Height of the Cylinder

SOLUTION :

We are given base area of cylinder is 44 cm², we can find out value of radius (R) by USING FORMULA of the area of circle.

⇒Area of Base = Area of circle = 44

⇒44 = πr²

⇒r² = 44/3.14

⇒r² = 14.01

⇒r = √14.01

⇒r = 3.74

\therefore Radius of Cylinder is 3.74 cm

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Now, use formula for Volume of Cylinder :

⇒Volume of cylinder = πr²h

⇒440 = 3.14 × (3.14)² × h

⇒440 = 3.14 × 14.01 × h

⇒440 = 43.99 × h

We can put 43.99 as 44

⇒440 = 44h

⇒h = 440/44

⇒h = 10

\therefore Height of cylinder is 10 cm


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