Question

A housing society consist of a cylindrical supply tank 10 m high and having base area 154m^2 .

What is the diameter of the tank and also find capacity of the tank in liters.

Answer 1

Answer:

given

h=10m

base are is circumference =154m^2

solution:-

circumference = \pi dcircumference=πd

154 = \frac{22}{7} \times d154=

7

22

×d

\frac{154 \times 7}{22} = d

22

154×7

=d

\frac{1078}{22} = d

22

1078

=d

49 = d49=d

Therefore diameter = 49m

volume \: of \: cylinder \: = \pi {r}^{2}hvolumeofcylinder=πr

2

h

volume = \frac{22}{7} \times \frac{49}{2} \times \frac{49}{2} \times 10volume=

7

22

×

2

49

×

2

49

×10

volume = 11 \times 7 \times 49 \times 5volume=11×7×49×5

volume = 18,865 {m}^{3}volume=18,865m

3

Now volume in litres is

{1m}^{3} = 1000 \: litres1m

3

=1000litres

{18865m}^{3} = x18865m

3

=x

x \: = 18865 \times 1000x=18865×1000

x \: = 18865000 \: litresx=18865000litres

Step-by-step explanation:

hope it helpful