Solve the problem.
-About how accurately must the interior diameter of a cylindrical storage tank that is 8 m high be measured in order to calculate the tank's volume within 0.5% of its true value?
A) Within 0.25 meters
B) Within 0.5%
C) Within 0.5 meters
D) Within 0.25%

Question

Quizplus · Accepted Answer

To calculate the volume of a cylinder, the formula is V = πr²h. A 0.5% error in volume corresponds to a 0.5% error in the square of the radius (since height is constant). Therefore, the diameter must be measured within 0.25% accuracy to ensure the volume is within 0.5% accuracy.

Solve the Problem. -About How Accurately Must the Interior Diameter of a Cylindrical