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natali 33 [55]
2 years ago
8

The capacity of cylinder tank is 539 litres . if its height is 1.4m then find the area of base

Mathematics
2 answers:
Novay_Z [31]2 years ago
5 0

<u>Given Data: </u>

Capacity of the Cylinder tank, V = 539 litres =

Height, h = 1.4 m

Area of the Cylinder, A = ?

<u>Convert litres to m³:</u> I litre = 0.001 m3

: . Capacity of the Cylinder tank = 539 litres = 0.539 m³

Let the radius of the base be r cm.

<u>Find the </u><u>radius </u><u>of </u><u>Cylinder</u><u>:</u>

Volume = πr²h

0.539 = πr²(1.4)

0.539 ÷ 1.4π = r²

r² = 0.12255

r = √0.12255

r = 0.35m

<u>Find </u><u>Area </u><u>of </u><u>Base</u><u>:</u>

Area, A = πr²

Area = π(0.35)² = 0.385 m²

<u>Answer:</u> The Area of base is 0.385 m²

Dennis_Churaev [7]2 years ago
3 0

Step-by-step explanation:

Solution:

Here,

Volume of the tank=539 litres

=539×1000cm^3=539000cm^3

Height=1.4×100cm=140cm

Let the radius of the base be r cm

Then,

22/7×r^2×140=539000

or,r^2=539000×7/22×140

or,r^2=1225

or,r=35 cm

So,

Area of base=pie r^2

=22/7×35^2

=3850 cm^2

<em>Keep</em><em> </em><em>smiling </em><em>and</em><em> </em><em>hope</em><em> </em><em>u</em><em> </em><em>r</em><em> </em><em>satisfied </em><em>with</em><em> </em><em>my</em><em> </em><em>answer</em><em>.</em><em>Have</em><em> </em><em>a</em><em> </em><em>good</em><em> </em><em>day</em><em> </em><em>:</em><em>)</em>

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