Question

A particular brand of talcum powder is available in two packs, a plastic can with a square base of side 50 and of height 14 , or one with a circular base of radius 3 ∙ 5 and of height 12 . Which of them has greater capacity and by how much?

Answer 1

Answer:

the volume of cuboid

here the lenght is 50 units and height is 14 units

therefore volume of cuboid ( volume of talcum Powder in the vessel) is lenght*breath*height

the lenght(l) and breath(b) of square are

equal the volume of cuboid is 50*50*14

volume of cylinder since bottom radius is3.5 and height is different there fore volume of cylinder is 22/7*7/2*7/2*12=22*7*3

let us compare the volume = the volume of cuboid/the volume if cylinder

comparison*= 50*50*14/22*7*3

by calculating the value is above 1

therefore the volume of cuboid is more

hence the more talcum Powder us in cuboid

Answer 2

$\huge{\mathcal{\blue{\underline{\underline{\pink{HeYa!!!}}}}}}$

Since one can has sqaure base so it is a cuboid.

And

Another can has circular base so it is a cylindrical can.

☆ Given:-

• Dimensions of cuboidal can = 50 × 50 × 14

• Height of cylindrical can = 12.

• Radius of cylindrical can = 3.5

☆ Now,

Capacity of cuboidal can

= L × B × H

= 50 × 50 × 14

= 2500 × 14

${\boxed{\blue{=\:\: 35000 \:\:unit\:square.}}}$

☆ Similarly,

Capacity of cylindrical can

= pie r²h

= 22/7 × 3.5 × 3.5 × 12.

= 22/1 × 0.5 × 3.5 × 12.

${\boxed{\blue{=\:\: 462 \:\:unit \:square.}}}$

Therefore clearly we can see that cuboidal can has more capacity then cylindrical can.

By (35000 - 462) unit² = 34538 unit².

${\boxed{\blue{So\:\: it \:\:is\:\: greater\:\: by \:\:34538 \:\:unit\: square.}}}$

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