how many tanks of water, each with a capacity of 3 cubic meters, are needed to fill an empty cylindrical tank whose height is 3 meters and whose base has a radius of 2 meters?

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21-12-2022
Mathematics

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how many tanks of water, each with a capacity of 3 cubic meters, are needed to fill an empty cylindrical tank whose height is 3 meters and whose base has a radius of 2 meters?

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tutorconsortium645 tutorconsortium645 · Answer 1 · 2022-12-27T11:56:10-05:00

After calculating the volume of cylinder, we need 4π tanks of water to fill the cylindrical tank. This is approximately 12.57 tanks of water.

What is the formula for volume of cylinder?

The volume of a cylinder is given by the formula:

V = πr^2h

where V is the volume, r is the radius of the base, and h is the height of the cylinder.

What is volume?

Volume is a measure of the amount of space occupied by a three-dimensional object or region. It is typically measured in units of cubic units, such as cubic meters or cubic feet.

The volume of a cylinder is given by the formula:

V = πr^2h

In this case, the radius of the base of the cylindrical tank is 2 meters and the height is 3 meters, so the volume of the cylindrical tank is:

V = π(2 meters)^2(3 meters)

= 12π meters^3

Each tank of water has a capacity of 3 cubic meters, so to fill the cylindrical tank, we need to divide the volume of the tank by the volume of each tank:

number of tanks = 12π meters^3 / 3 meters^3

= 4π tanks

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