Question

A farmer has a water tank for cows in the shape of a cylinder with a radius of 7 ft and a height of 3 ft. The tank comes equipped with a sensor to alert the farmer to fill it up when the water falls to 20% capacity. What would the volume of the tank be when the sensor turns on?

Answer 1

Answer:

volume of the tank be when the sensor turns on = 92.316 ft³

Step-by-step explanation:

Volume of a cylinder = πr²h

Pi = π = 3.14

Radius = r = 7 ft

Height = h = 3 ft

Volume of a cylinder = πr²h

= 3.14 × 7² × 3

= 3.14 × 49 × 3

= 461.58 ft³

The tank comes equipped with a sensor to alert the farmer to fill it up when the water falls to 20% capacity.

volume of the tank be when the sensor turns on = 20% of Volume of a cylinder

= 0.20 * 461.58 ft³

= 92.316 ft³

volume of the tank be when the sensor turns on = 92.316 ft³