Question

The pressure at the bottom of the tank is 100 dyne/cm². If the tank contains 10g of water, then find the area occupied by the tank in m² ::​

Answer 1

★ Formula used ::

$\;\boxed{\pink{\sf{Pressure=\dfrac{Force}{Area}}}}$

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Given,

» Pressure at the bottom of the tank = 100 dyne/cm²

» Water in the tank = 10g

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We know that,

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>> $\tt{\;Pressure=\dfrac{Force}{Area}}$

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Substituting the values,

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>> $\tt{\;100=\dfrac{10}{Area}}$

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>> $\tt{\;Area=\dfrac{10}{100}}$

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>> $\tt{\;Area={\green{0.1\;cm^2}}}$

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• For area in m² ::

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>> Area in m² = 0.1 × 0.01

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>> Area in m² = 0.001 m²

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Hence, area occupied by the tank is 0.001 m².

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$\underline{\boxed{\tt{Required\;Answer={\purple{\bf{0.001\;m^2}}}}}}$

Answer 2

Pressure =force/area

here,

pressure =mg/area

100=10×10/A

Area=1cm

area = 10^-2