Question

The volume of a cylinder of height 10 cm is 6160 cubic cm. Find its

total surface area.
With full explanation!!!!​

Answer 1

Answer:

Let the depth of the tank be h.

Given:-

Volume of tank =6160m³

Radius of tank =14m

As we know that, volume of tank is given as-

V=πr

2

h

Therefore,

Volume of tank =πr

2

h

⇒

7

22

×(14)

2

h=6160

⇒616h=6160

⇒h=

616

6160

=10m

Hence the depth of the tank is 10m

Now again as we know that the curved surface area of cylinder is given as-

A=2πrh

Therefore,

curved surface area of tank =2×22

7 ×14×10=880m²

Given that the cost of painting is Rs.3 per m²

.

Therefore,

Cost of painting the curved outer surface of tank =3×880=Rs.2640

Hence the cost of painting the curved outer surface is Rs.2640.

Answer 2

$\Large{\underbrace{\sf{\purple{Required\:Answer:}}}}$

⛦ Given :

• volume of cylinder= 6160 cubic cm
• height of cylinder= 10cm

⛦ To find :

• total surface area of cylinder=??

⛦ Solution:

↬ volume of cylinder = πr²h

↬ πr²h = 6160 cubic cm

$\frac{22}{7} \times {r}^{2} \times 10 = 6160$

${r}^{2} = \frac{6160 \times 7}{10 \times 22}$

$r {}^{2} = \frac{43120}{220}$

$\ {r}^{2} = 196$

$r = \sqrt{196 }$

$r = 14cm$

now we have to find,

total surface area of cylinder

= 2πr (h + r)

$2 \times \frac{22}{7} \times 14 \times (10 + 14)$

$2 \times 22 \times 2(24)$

$2 \times 22 \times 48$

$1980cm.sq.$

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