The circumference of the base of cylinder is 176cm and its side is 65 cm find the volume of cylinder and its lateral surface area.
Answers
Answer:
See the attachment.
Step-by-step explanation:
Taking the value of π = 3.14
Volume Of Cylinder = 160014.4 cm³
Lateral Surface Area of Cylinder = 11429.6 cm²
Taking the value of π = 22/7
Volume Of Cylinder = 160160 cm³
Lateral Surface Area of Cylinder = 11440 cm²
Step-by-step explanation:
GIVEN
circumference of the base of cylinder = 176 cm
Side = height = 65 cm
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To Find
- Volume of cylinder
- Lateral surface area
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Formulas Of Cylinder
Total Surface Area Of Cylinder = 2πr ( r + h )
Volume Of Cylinder = πr²h
Lateral Surface Area of Cylinder = 2πrh
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To find the Volume of cylinder and Lateral surface area,
We need it find the radius
Taking the value of π = 3.14
We know that,
circumference of the base of cylinder = 2πr
176 = 2 × 22/7 × r
r = ( 176 × 7 ) / ( 2 × 22 )
r = 1232 / 44
r = 28
Radius = 28 cm
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Now,
we have
Radius = 28 cm
Height = 65 cm
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Taking the value of π = 3.14
Finding Volume Of Cylinder
We know that,
Volume Of Cylinder = πr²h
Volume Of Cylinder = 3.14 × (28)² × 65
Volume Of Cylinder = 3.14 × 784× 65
Volume Of Cylinder = 160014.4
Volume Of Cylinder = 160014.4 cm³
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Finding Lateral Surface Area of Cylinder
We know that,
Lateral Surface Area of Cylinder = 2πrh
Lateral Surface Area of Cylinder = 2 × 3.14 × 28 × 65
Lateral Surface Area of Cylinder = 6.28 × 28 × 65
Lateral Surface Area of Cylinder = 11429.6
Lateral Surface Area of Cylinder = 11429.6 cm²
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Taking the value of π = 22/7
Finding Volume Of Cylinder
We know that,
Volume Of Cylinder = πr²h
Volume Of Cylinder = 22/7 × (28)² × 65
Volume Of Cylinder = 22/7 × 784× 65
Volume Of Cylinder = 160160
Volume Of Cylinder = 160160 cm³
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Finding Lateral Surface Area of Cylinder
We know that,
Lateral Surface Area of Cylinder = 2πrh
Lateral Surface Area of Cylinder = 2 × 22/7 × 28 × 65
Lateral Surface Area of Cylinder = 6.28571429 × 28 × 65
Lateral Surface Area of Cylinder = 11440