Question

A farmer has a water tank for cows in the shape of a cylinder with radius of 1.4 m and height of 2 m. The tank comes equipped with a sensor to alert the farmer to fill it up when the water falls to 20% capacity.
(i) Find the curve surface area of tank
(ii) What is the volume of the tank when the sensor turns on?
(use π = 22/7)​

Answer 1

Answer:

(i) 17.6 m

(ii) 2.464

Step-by-step explanation:

(i) radius = 1.4 m

height = 2 m

CSA = 2*pi*r*h1

=> 2*22/7*1.4*2 = 17.6 m

(ii) volume = pi*r^2*h

=> 22/7*1.4*1.4*2

= 12.32 m

then , they have asked for 20%

so , 20/100 * 12.32

then we will get the answer as 2.464

Answer 2

Answer:

(i) The curved surface area of tank is 17.6 m²

(ii) The volume of the tank is 2.464 m³ when the sensor turns on.

Step-by-step explanation:

Given:

Radius = 1.4 m

Height = 2 m

(i) CSA of the tank

We know that CSA of a cylinder = 2πrh

On substitution, we get,

CSA = 2 * $\frac{22}{7}$ * 1.4 * 2

                          = 17.6 m²

Therefore,  the curved surface area of tank is 17.6 m²

(ii) We know that the volume of a cylinder = πr²h

On substitution, we get,

Total volume = $\frac{22}{7}$ * (1.4)² * 2

                      = 12.32 m³

But need to find the volume of the tank when the sensors turn on.

It happens at 20% of the tank capacity

= 20% of 12.32 m³

= $\frac{20}{100}$ of 12.32 m³

= 2.464 m³

Therefore, the volume of the tank is 2.464 m³ when the sensor turns on.