the volume of a cylinder is 200 cm cube. its height is 10 cm. find area of its base?
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125
Volume of the cylinder, V = 200 cu. cm
Height of the cylinder, h = 10 cm
We know that,
Volume of cylinder = π * r ^ 2 * h
200 = 22/7 * r ^ 2 * 10
200/10 * 7/22 = r ^ 2
r ^ 2 = 20 * 7/22
r ^ 2 = 10 * 7/11
r = √ ( 70 / 11 ) cm
Area of the base of the cylinder, A = π * r ^ 2
A = 22/7 * ( √70/11 ) ^ 2
A = 22/7 * 70/11
A = 2 * 10
Area of the base of the cylinder = 20 cm ^ 2
Height of the cylinder, h = 10 cm
We know that,
Volume of cylinder = π * r ^ 2 * h
200 = 22/7 * r ^ 2 * 10
200/10 * 7/22 = r ^ 2
r ^ 2 = 20 * 7/22
r ^ 2 = 10 * 7/11
r = √ ( 70 / 11 ) cm
Area of the base of the cylinder, A = π * r ^ 2
A = 22/7 * ( √70/11 ) ^ 2
A = 22/7 * 70/11
A = 2 * 10
Area of the base of the cylinder = 20 cm ^ 2
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Answered by
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Hey !!
Height of cylinder ( H ) = 10 cm.
Volume of cylinder = 200
πR²H = 200
22/7 × R² × 10 = 200
R² = ( 200 × 7 ) / ( 22 × 10 )
R² = ( 20 × 7 ) / 22 = ( 10 × 7 / 11 )
R² = 70/11
R = √70/11 = ( 8.36 / 3.31 )
R = 2.52 cm.
Area of base of cylinder = πR² = 22/7 × 2.52 × 2.52 = ( 22 × 2.52 × 2.52 ) / 7 = 139.7088 / 7 = 19.9584 cm².
Height of cylinder ( H ) = 10 cm.
Volume of cylinder = 200
πR²H = 200
22/7 × R² × 10 = 200
R² = ( 200 × 7 ) / ( 22 × 10 )
R² = ( 20 × 7 ) / 22 = ( 10 × 7 / 11 )
R² = 70/11
R = √70/11 = ( 8.36 / 3.31 )
R = 2.52 cm.
Area of base of cylinder = πR² = 22/7 × 2.52 × 2.52 = ( 22 × 2.52 × 2.52 ) / 7 = 139.7088 / 7 = 19.9584 cm².
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