1.

The radius of the base of a cylindrical oil can is 4 m. Find its height if it can contain1,408 kilolitres of oil.​

Answer»

Given:

  • Radius = 4 m
  • Total Amount of Oil = 1408 kilolitres

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To Find:

  • Height of Cylindrical Oil can

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Solution:

\\ \bigstar{\underline{\boxed{\tt\large{ \red{ Volume_{(Cylinder)} } = πr^2h }}}} \\

  • R = Radius
  • h = Height

:: 1 m³ = 1000 LITRES

:: 1408/1000 => 1.408 m³

\\ {\underbrace{\tt\large{ Concept \, Used }}} \\

A cylinder is a three-dimensional solid that holds two parallel bases joined by a curved surface, at a FIXED distance. These bases are normally CIRCULAR in shape (LIKE a circle) and the center of the two bases are joined by a line segment.

Let the Height of the cylinder be x.

After substituting values,

\implies v = πr²h

\implies 1.408 = 22/7 × 4 × 4 × x

\implies 1.408 × 7/22 × 4 × 4 = x

\implies x = 0.088 m

Hence,

  • The Height of the Cylindrical Oil can is 0.088 m.


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