Question

The cost of painting the outer curved surface of a cylindrical tank at the rate of Rs. 4 per square meter is Rs. 1232. IF the height of the tank is 7 m , find the capacity of the tank in liter

Answer 1

hi friend here is ur answer
Happy new year

Answer 2

Answer: 1078000 litres.

Step-by-step explanation:

Given,

• The cost of painting the outer curved surface of a cylindrical tank is Rs. 1232.
• The Rate of Painting is Rs. 4 per sq. mt.
• The height of the tank is 7 m

To Find: The total capacity of our concerned cylindrical Tank.

Explanation:

• To solve this question, first we will need to find out the radius of the base of the tank.
• Let us assume the radius of the tank to be "r".
• Also, we need to know the formula to calculate the outer curved surface area of a cylinder, which is

        $(2*\pi* r*h)$ where, the height of the cylinder is "h".

• As per the question-mentioned condition,

       [(outer curved surface area of the tank) * (Rate of painting per sq. m) = Total cost of Painting the outer curved surface area of the tank.

        i.e., $(2*\pi *r*7)*4=1232$...[As (h = 7), given]

              $or, r*(2\pi *7*4)=1232\\or, r*(2*\frac{22}{7} *7*4)=1232\\\\or, r*(2*22*4)=1232\\or, r = \frac{1232}{8*22}\\ or, r = 7$

• Now, using the values of "r" and "h" in the formula to calculate the volume of a cylinder, which is $(\pi *r^{2}*h)$,

       we will obtain our required answer.

• Therefore, volume or capacity of our concerned tank is

        $(\pi *7^{2}*7)=(\frac{22}{7}*7^{3})\\ =(22*7^{2})\\ =(22*49)\\=1078$

• Now, 1 Cubic Metre = 1000 Litres,

       or, 1078 cu. m = (1078 * 1000) = 1078000 Litres.

The curved surface area of a cylinder is 1320 cm^2 and it's volume is 2640 cm^3 find it's height.

https://brainly.in/question/7910579

Curved surface area of a cylinder is 440 cm square find its volume is the height of its is 21 CM

https://brainly.in/question/7120048

#SPJ2