Final answer:
The question lacks essential information to calculate the base radius of the cone, such as the height of the cone. With the height, we could use the formula for the volume of a cone to solve for the radius. Without this information, the calculation cannot be completed.
Step-by-step explanation:
To calculate the base radius of a cone with a given volume, we use the formula for the volume of a cone:
V = (1/3) πr²h
However, we're given the volume and not the height, so we cannot directly find the radius without additional information. Assuming that the information pertains to a standard cone and the question intends for us to find the missing variable, more context or additional details are needed about the cone (such as the height or the relationship between height and radius) to answer conclusively. Without such information, the solution cannot proceed.
Generally, if the height was known, we would rearrange the formula to solve for the radius as follows:
Express the radius in terms of the other variables: r = √((3V) / (πh)).
Then, substituting the given volume of 968 π mm³ (assuming the height is known), we would calculate the base radius to one decimal place. Since we don't have the height, we're unable to complete this calculation.