Question

The radius of the base of a cylindrical oil can is 4 m. Find its height if it can contain
1,408 kilolitres of oil.​

Answer 1

Given:

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

To Find:

• Height of Cylindrical Oil can

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.