Question

the volume of a cylinder of height 8cm is 1232 cucm .find its curved and total surface area

Answer 1

first of all we find the value of r
volume of a cylinder=Πr²h
1232=22\7×r²×8
1232=176\7×r²
r²=1232×7\176
r²=49
r=7
curved surface area= 2Πrh
2×22\7×7×8
352 cm²
total surface area=2Πr(r+h)
2×22\7×7(7+8)
44(15)
660cm²

Answer 2

Answer: Curved surface area and total surface area of cylinder are 352 cm² and 7260 cm².

Step-by-step explanation:

Since we have given that

Height of a cylinder = 8 cm

Volume of a cylinder = 1232 cm³

since we know the formula for "Volume of cylinder ":

$Volume=\pi r^2h\\\\1232=\frac{22}{7}\times r^2\times 8\\\\\frac{1232}{8}\times \frac{7}{22}=r^2\\\\49=r^2\\\\r=\sqrt{49}=7\ cm$

So, Curved surface area of cylinder is given by

$2\pi rh\\\\=2\times \frac{22}{7}\times 7\times 8\\\\=352\ cm^2$

Total surface area of cylinder is given by

$2\pi r(r+h)\\\\=2\times \frac{22}{7}\times 7(7+8)\\\\=2\times \frac{22}{7}\times 7\times 15\\\\=7260\ cm^2$

Hence, Curved surface area and total surface area of cylinder are 352 cm² and 7260 cm².