A rectangular sheet of dimensions 20 cm x 7 cm is rotated about its longer side. Find the volume and
the total surface area of the solid thus generated.
Answers
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The volume and total surface area of cylinder is 222cm³ and 203 cm² when rectangular sheet with measurements of 20 cm × 7 cm is rotated.
Given that,
The longer edge of a rectangular sheet with measurements of 20 cm × 7 cm is rotated.
We have to find the solid's volume and overall surface area after generating it.
We know that,
The rectangular sheet is rotated then the shape will be cylindrical shape.
The circumference of the base of the cylinder =20 cm
2πr = 20cm
The height of the cylinder is 7cm
Curved surface area of cylinder = 2πrh = 20 ×7 = 140cm²
140 = 2πrh
140 = 2πr(7)
140 = 14πr
πr= 10
r = 3.18
Radius = 3.18 cm
Volume of the cylinder = πr²h
= π(3.18)²(7)
= 222cm³
Total surface area of cylinder = 2πr(h+r)
= 2π(3.18)(7+3.18)
= 2π(3.18)(10.18)
= 203 cm²
Therefore, The volume and total surface area of cylinder is 222cm³ and 203 cm².
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