Question

Measure the circumference and height of cylindrical water tank of your house. calculate the radius of tank Them. Calculate the curved surface area Also calculate the volume of water stored in it in litres .
​

Answer 1

Answer:

Circumference of cylinder is C=2πr

It is given that the circumference of water tank is 264 cm, therefore,

C=2πr

⇒264=2πr

⇒r=

2π

264

=

π

132

Now, curved surface area of cylinder is A=2πrh

Here, the radius is

π

132

cm and height is 12 cm.

Thus,

A=2πrh=2π×

π

132

×12=2×132×12=3168 cm

2

Hence, the curved surface area of cylindrical water tank is 3168 cm

2

.

Answer 2

Step-by-step explanation:

Total height of the tank = 14 m

Area of the circular base = 38.5 m2

To find: Per liter cost of water required to fill the tank (T)

By formula,

Area of the circular base = πr2

Or, 38.5 =

Or,

Or,

Or, r = 3.5 m

Hence the radius of cylindrical base is 3.5 m

Here, height of the cylindrical part = total height - radius of the hemispherical part = 14 m - 3.5 m = 10.5 m

Now, by formula,

Volume of the cylindrical part (V1) = Area of the base x height

= 38.5 x 10.5

= 404.25 m3

and volume of the hemispherical part

(V2) =

= 89.8333 m3

So, total volume of the tank (V) = V1 + V2 = 404.25 m3 + 89.8333 m3 = 494.0833 m3

We know that, 1m3 = 1000 liters

So, 494.0833 m3 = 494083.3 liters

∴ Total cost of water required to fill the tank (T) = per liter cost x quantity of water = 24 paisa x 494083.3 liters = 24/100 x 494083.3 liters = Rs. 118580 ans.