Question

A water tank is formed with the combination of cylinder and hemisphere. The
total height of the tank is 20 m and base area is 154 m². If the tank is filled with
water at the rate of 45 paisa per litre, what is the total cost to fill the water?
129499.24
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Answer 1

The answer is Rs 1,191.33

GIVEN

A water tank is formed with the combination of cylinder and hemisphere. The total height of the tank is 20 m and base area is 154 m.

SOLUTION

what is the total cost to fill the water?

SOLUTION

We can simply solve the above problem as follows;

we are given,

Area of the hemisphere = πr²

πr² = 154m²

r² = (154×7)/22 = 49

r = 7cm

Now,

Volume of hemispherical part = 2/3 (πr3)

$= \frac{2}{3} \times \ \frac{22}{7} \times {7}^{3}$

= 646.212m³

Now,

Height of cylindrical part = Total height - radius of hemisphere.

= 20 - 7

= 13m

Volume of cylindrical part = πr²h

$= \frac{22}{7} \times 7 \times 7 \times 13$

= 2001.19m³

Total volume of water in the tank = 646.212 + 2001.19 = 2647.402m³

Now,

We know that,

1m³ = 1 l

Therefore,

Volume of water in liters = 2647.402 L

Cost of filling the tank = 45 paisa per litre = 0.45 rupees per litre.

Cost of filling 2647.402 Liters of water = 2647.402 × 0.45 = 1,191.3309≈ Rs 1,191.33

Hence, The answer is Rs 1,191.33

#SPJ1

Answer 2

Answer:

12243000

Step-by-step explanation: