a rectangular sheet of paper 42 cm into 16 cm is all along its length and a cylinder is formed. find the volume of the cylinder
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Hi ,
Dimensions of the rectangle sheet,
Length ( l ) = 42cm
Breadth ( b ) = 16 cm
Dimensions of the cylinder made by
The sheet,
Let the radius of the cylinder = r cm
Height ( h ) = b = 16 cm
Circumference of the base = l
2πr = 42
r = 42/ 2π
r = 21/π ---( 1 )
THEREFORE ,
Volume of the cylinder ( v )
= Base area × height
= π r² h
= π × ( 21/π )² × 16
= ( 21 × 21 × 16 )/ π
= ( 21 × 21 × 16 × 7 ) / 22
= ( 441 × 56 ) /11 cm³
I hope this helps you.
:)
Dimensions of the rectangle sheet,
Length ( l ) = 42cm
Breadth ( b ) = 16 cm
Dimensions of the cylinder made by
The sheet,
Let the radius of the cylinder = r cm
Height ( h ) = b = 16 cm
Circumference of the base = l
2πr = 42
r = 42/ 2π
r = 21/π ---( 1 )
THEREFORE ,
Volume of the cylinder ( v )
= Base area × height
= π r² h
= π × ( 21/π )² × 16
= ( 21 × 21 × 16 )/ π
= ( 21 × 21 × 16 × 7 ) / 22
= ( 441 × 56 ) /11 cm³
I hope this helps you.
:)
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