The volume of a right cirular cylinder is 448 pie cm2. and height 7 cm find the lateral surface area and total surface area
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Let r , h are radius and height of the
circular cylider ,
h = 7 cm ,
Volume of the cylider = 448π
π r² h = 448π
π r² × 7 = 448π
r² = ( 448π )/( π × 7 )
= 64
r = √64 = 8 cm
i ) Lateral surface area = 2πrh
= 2 × 22/7 × 8 × 7
= 352 square cm
ii ) Total surface area = 2πr( h + r )
= 2× 22/7 × 8 [ 7 + 8 ]
= ( 2 × 22 × 8 × 15 ) / 7
= 5280/7
≈ 754.28 square cm
circular cylider ,
h = 7 cm ,
Volume of the cylider = 448π
π r² h = 448π
π r² × 7 = 448π
r² = ( 448π )/( π × 7 )
= 64
r = √64 = 8 cm
i ) Lateral surface area = 2πrh
= 2 × 22/7 × 8 × 7
= 352 square cm
ii ) Total surface area = 2πr( h + r )
= 2× 22/7 × 8 [ 7 + 8 ]
= ( 2 × 22 × 8 × 15 ) / 7
= 5280/7
≈ 754.28 square cm
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