Find the volume , curved surface area and the total surface area of a cylinder having base radius 10.5 cm and height 18 cm.
Answers
Taking the value of π = 3.14
Volume Of Cylinder = 6231.33 cm³
Curved Surface Area of Cylinder = 1186.92 cm²
Total Surface Area Of Cylinder = 1879.29 cm²
Taking the value of π = 22/7
Volume of Cylinder = 6237 cm³
Curved Surface Area of Cylinder = 1188 cm²
Total Surface Area Of Cylinder = 1881 cm²
Step-by-step explanation:
GIVEN
Radius of base = 10.5 cm
Height = 18 cm
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Formulas Of Cylinder
Total Surface Area Of Cylinder = 2πr ( r + h )
Volume Of Cylinder = πr²h
Curved Surface Area of Cylinder = 2πrh
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Taking the value of π = 3.14
Volume Of Cylinder
We know that,
Volume Of Cylinder = πr²h
Volume Of Cylinder = 3.14 × 10.5² × 18
Volume Of Cylinder = 3.14 × 110.25 × 18
Volume Of Cylinder = 6231.33
Volume Of Cylinder = 6231.33 cm³
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Curved Surface Area of Cylinder
We know that,
Curved Surface Area of Cylinder = 2πrh
Curved Surface Area of Cylinder = 2 × 3.14 × 10.5 × 18
Curved Surface Area of Cylinder = 6.28× 10.5 × 18
Curved Surface Area of Cylinder = 1186.92
Curved Surface Area of Cylinder = 1186.92 cm²
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Total Surface Area Of Cylinder
We know that,
Total Surface Area Of Cylinder = 2πr ( r + h )
Total Surface Area Of Cylinder = 2 × 3.14 × 10.5 ( 10.5 + 18 )
Total Surface Area Of Cylinder = 2 × 3.14 × 10.5 × 28.5
Total Surface Area Of Cylinder = 1879.29
Total Surface Area Of Cylinder = 1879.29 cm²
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Taking the value of π = 22/7
Volume Of Cylinder
We know that,
Volume Of Cylinder = πr²h
Volume Of Cylinder = 22/7 × 10.5² × 18
Volume Of Cylinder = 22/7 × 110.25 × 18
Volume Of Cylinder = 6237
Volume Of Cylinder = 6237 cm³
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Curved Surface Area of Cylinder
We know that,
Curved Surface Area of Cylinder = 2πrh
Curved Surface Area of Cylinder = 2 × 22/7 × 10.5 × 18
Curved Surface Area of Cylinder = 6.28571429 × 10.5 × 18
Curved Surface Area of Cylinder = 1188.00000081
Curved Surface Area of Cylinder = 1188 cm²
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Total Surface Area Of Cylinder
We know that,
Total Surface Area Of Cylinder = 2πr ( r + h )
Total Surface Area Of Cylinder = 2 × 22/7 × 10.5 ( 10.5 + 18 )
Total Surface Area Of Cylinder = 2 × 22/7 × 10.5 × 28.5
Total Surface Area Of Cylinder = 1881