A metal cuboid of dimension 22cm×15cm×7.5cm.was melted and cast in to

This question was asked in Ex 13.2, 1

A metal cuboid of dimension 22cm×15cm×7.5cm.was melted and cast in to a cylinder of height 14cm.what is it's radius?

Raj Kuchana

Nov. 16, 2020, 5:45 p.m.

Answers!

pubg player

Nov. 16, 2020, 6:54 p.m.

Given a metal cuboid of dimension length 22 cm breadth 15 cm and height is 7.5 cm

Then volume of cuboid

= 22 \times 15 \times 7.5 = 2475 c m^{3}

If we melt this cuboid and cast in the cylinder of height

14 c m

Then the volume of cuboid =volume of cylinder

Let

r

is a radius of a cylinder

Then volume of cylinder =

π r^{2} h = 722 \times r^{2} \times 14

∴ 722 \times r^{2} \times 14 = 2475

\Rightarrow r^{2} = 22 \times 142475 \times 7 = 56.25

\Rightarrow r = 7.5 c m

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pubg player

Nov. 16, 2020, 6:53 p.m.

Given a metal cuboid of dimension length 22 cm breadth 15 cm and height is 7.5 cm

Then volume of cuboid

= 22 \times 15 \times 7.5 = 2475 c m^{3}

If we melt this cuboid and cast in the cylinder of height

14 c m

Then the volume of cuboid =volume of cylinder

Let

r

is a radius of a cylinder

Then volume of cylinder =

π r^{2} h = 722 \times r^{2} \times 14

∴ 722 \times r^{2} \times 14 = 2475

\Rightarrow r^{2} = 22 \times 142475 \times 7 = 56.25

\Rightarrow r = 7.5 c m

Comment

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Answers!

Given a metal cuboid of dimension length 22 cm breadth 15 cm and height is 7.5 cm

Given a metal cuboid of dimension length 22 cm breadth 15 cm and height is 7.5 cm

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