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

Step-by-step explanation:

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Answer 2

To Find:-

• The height of the cylinder can. ....( ? )

Given:-

• The radius of the base of a cylindrical oil can = 4m
• Given quantity of oil = 1408 L

Solution:-

here,

r = radius

h = height

v = volume

$π = \dfrac{22}{7}$

step-by-step explanation:

r = 4 m

$Volume =1408 \times {10}^{3}lt → {m}^{3} \\ ( {1m}^{3}→ {10}^{3}lt)$

$v = {1408m}^{3}$

A . T . Q

πr²h = 1408

$\dfrac{22}{7} \times 4 \times 4 = 1408$

$h = \dfrac{1408 \times 7}{22 \times 16}$

$h = \dfrac{\cancel{1408} \times 7}{\cancel{22} \times \cancel{16}} \\ h = 4 \times 7$

$h = 28m$

Required Answer:-

The height of of the can is 28m.

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Key Concepts

• volume of Cube = ( side )³
• Volume of Sphere = 4/3π × (radius)³
• Volume of cuboid = Length × Breadth × height