Find the volume of the cylinder whose total surface area is 1628 cm2 and the circumference of its cross-section is 44 cm.
A
4520
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B
4620
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C
5240
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D
none of the above
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Solution
The correct option is B 4620 cylinder's total surface area = 1628 sq.cm 2π∗r2+2π∗r∗h=1628 circumference of its cross-section is 44 cm 2π∗r=44 r=7 So, 2π∗r2+2π∗r∗h=1628 2π∗72+2π∗7∗h=1628 h=30 the volume of the cylinder V=πr2h V=π∗72∗30 V=4620