Question

a soft drink is available in two packs : 1) a tin can with a rectangular base of length 5 cm , breadth 4 cm and height 15 cm , and 2) a plastic cylinder with circular base of diameter 7 cm and height 10 cm . Which container has greater capacity and by how much ? ... pls answer fast if you know the answer and explaination​

Answer 1

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A soft drink is available in two packs

i) a tin can with a rectangular base of length 5 cm , breadth 4 cm and height 15 cm

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Tin can :

The tin as a rectangular base it . So it is cubiod

So given ;

⇒Length = 5cm

⇒ Breadth = 4cm

⇒Height = 15cm

Capacity of tin can = Volume of Cuboid

We know the formula ;

$\longrightarrow$ ${\green{\overline{\green{\underline{\blue{\boxed{\orange{\mathtt{Length × Breadth × Height}}}}}}}}}$

$~~~~~~~~~~~~~~~~~= 5cm × 4cm × 15cm$

$~~~~~~~~~~~~~~~~~= 300cm³$

Now ;

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A soft drink is available in two packs

ii) A plastic cylinder with circular base of diameter 7 cm and height 10 cm .

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Plastic cylind :

So given ;

⇒Diameter = 7cm

⇒Radius = $\frac{diameter}{2}$

⇒Radius = $\frac{7}{2}$

⇒ Height = 10cm

Capacity of Cylinder = Volume of Cylinder

We know the formula ;

$\longrightarrow$ ${\green{\overline{\green{\underline{\blue{\boxed{\orange{\mathtt{πr²h}}}}}}}}}$

$~~~~~~~~~~~~~~~~~= (\frac{22}{7} × \frac{7}{2} × \frac{7}{2} × 10)$

$~~~~~~~~~~~~~~~~~= 385cm²$

Therefore ;

Which container has greater capacity and by how much.

Capacity of Plastic cylinder > Capacity of Tin can

So Plastic cylinder is greater .

Capacity of Plastic cylinder - Capacity of Tin can

⇒ 300cm³ - 385cm³

⇒ 85cm³

Thus the plastic cylinder has greater capacity of 85cm³