To determine the value of the exponent n that makes the formula πx^ny^3 represent a volume, we need to consider the dimensions of the variables x and y.
In a formula for volume, all dimensions must be raised to the power of 3, as volume is a measure of three-dimensional space.
Given that the formula includes the variable y^3, we know that y is already raised to the power of 3 and represents a dimension in the volume formula.
Therefore, to make x a dimension in the volume formula, the exponent n must be 3. This ensures that both x and y are raised to the power of 3, representing three-dimensional space.
So, the value of the exponent n that results in the formula πx^ny^3 representing a volume is 3.