Question

The curved surface area of a cylinder is 1980cm square. Its volume is 10.395cm cube. Find its total surface area

Answer 1

The curved surface area is :

Area = 2πrh

2 × 22/7 × r × h = 1980

44/7rh = 1980

rh = 1980 × 7/22 = 630

rh = 630

Volume = πr²h

22/7 × r² × h = 10395

22/7 × rh × r = 10395

22/7 × 630 × r = 10395

1980r = 10395

r = 10395/1980

r = 5.25 cm

h = 630/5.25 = 120 cm

Total surface area = 2πrh + 2πr²

2πr² = 22/7 × 2 × 5.25² = 173.25

173.25 + 1980 = 2153.25 cm²

Answer 2

Hope u like my process
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Curved surface Area

$= \bf \: 2\pi rh = 1980 \: c {m}^{2} \\ \\ so \\ \\ = > \bf \: \pi rh = \frac{1980}{2} = 990 \: c {m}^{2}$


Volume(v)


$= \bf\pi {r}^{2} h = 10395 \: \: c {m}^{3} \\ \\ so. \: \: \\ \\ = > \bf \: r = \frac{10395}{\pi rh} = \frac{10395}{990} = 10.5 \: cm$
So..
Radius (R) = 10.5 cm

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Total surface Area

$= \bf \: 2\pi rh + 2\pi {r}^{2} \\ \\ = \bf \: 1980 + 2 \times \frac{22}{7} \times {(10.5)}^{2} \: \: c {m}^{2} \\ \\ = \bf \: 2672.72 \: \: c {m}^{2}$
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