Set up the integral that uses the method of cylindrical shells to find the volume v of the solid obtained by rotating the region bounded by the given curves about the specified line. 64y = x3, y = 0, x = 8 about the line y = 8

Arectangle has an area of 54 square feet. if the length is 3 feet more than the width, find the dimensions of the rectangle.

How many grams must be adde to 970g to make 1 and a half kg

An automated water dispenser fills packets with one liter of water on average, with a standard deviation of 5 milliliter. the manual says that after a year of operation the dispenser should be tested to see if it needs recalibration. a year later a number of filled packets are set aside and measured separately. it is found that the average packet now contains about 0.995 liters. does the dispenser need calibration? explain your answer.