A cylindrical water tank has a radius of 4 feet and a height of 10 feet. To find out how much water the tank can hold, you will need to calculate its volume. The formula to find the volume of a cylinder is given by:
$$ V = ext{Base Area} imes ext{Height} $$
Where the base area can be calculated using the formula for the area of a circle:
$$ A = ext{π}r^2 $$
Using the provided dimensions, what is the volume of the cylindrical tank?