Question

volume of cylinder is 39600 cm and height is 14.find the lateral surface area and total surface area

Answer 1

hii!!

here's ur answer...

given the volume of the cylindrical is 39600cm² and height is 14cm

therefore πr²h=39600cm²

→22/7×r²×14=39600cm²

→22×2×r²=39600cm²

→44×r²=39600cm²

→r²=39600/44

→r²=900

→r=√900

→r=30

★verification★

volume of cylinder=πr²h

=22/7×30×30×14

=22×30×60

=39600cm²

hence verified.

thus the radius of the cylinder is 30cm.

CSA of the cylinder=2πrh

=2×22/7×30×14

=44×30×2

=2640cm²

TSA of the cylinder=2πr(h+r)

=2×22/7×30(14+30)

=44/7×30×44

=58080/7

=8297.14 (approximately)

hope this helps..!