Math, asked by okhushi91, 1 day ago

if base radius of a right circular cylinder is Halved keeping the height same find the ratio of the volume of the reduced cylinder to that of the original cylinder​

Answers

Answered by itzmecutejennei
3

Step-by-step explanation:

Correct option is C)

Let the radius of the cylinder is r and height is h

∴ Volume of the cylinder = πr

2

h

According to the question new radius is half of the initial radius

∴New radius=

2

r

Height is h.

∴New volume of the cylinder =

Answered by AsmitaSuzy
2

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If the radius of the base of a right circular cylinder is halved, keeping the height the same, then the ratio of the volume of the cylinder thus obtained to the volume of original cylinder is:

A

1:2

B

2:1

C

1:4

D

4:1

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Solution

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Correct option is C)

Let the radius of the cylinder is r and height is h

∴ Volume of the cylinder = πr

2

h

According to the question new radius is half of the initial radius

∴New radius=

2

r

Height is h.

∴New volume of the cylinder = π(

2

r

)

2

h=π

4

r

2

h

∴ The ratio of the new volume of the cylinder and initial volume of the original cylinder=

πr

2

h

π

4

r

2

h

=

4

1

∴ Ratio =1:4.

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