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