Question

emily is shopping for paint at the craft store. emily first chooses a large cylindrical bottle of yellow paint. it has a radius of 4 centimeters and a height of 14.6 centimeters. what is the volume of the bottle of yellow paint? round your answer to the nearest whole number. cubic centimeters emily needs a little more yellow paint, so she chooses a smaller cylindrical bottle as well. it has a height of 10 centimeters and a radius of 1.9 centimeters. what is the volume of the smaller bottle of yellow paint? round your answer to the nearest whole number. cubic centimeters what is the total volume of yellow paint? round your answer to the nearest whole number. cubic centimeters

Explanation:

Step1: Calculate the volume of the large cylindrical bottle

The formula for the volume of a cylinder is \(V = \pi r^{2}h\). For the large bottle, \(r = 4\) cm and \(h=14.6\) cm.
Substitute the values into the formula: \(V_1=\pi\times4^{2}\times14.6=\pi\times16\times14.6 = 233.6\pi\approx233.6\times3.14 = 733.504\approx734\) (rounded to the nearest whole number)

Step2: Calculate the volume of the small cylindrical bottle

For the small bottle, \(r = 1.9\) cm and \(h = 10\) cm.
Substitute into the formula \(V=\pi r^{2}h\): \(V_2=\pi\times(1.9)^{2}\times10=\pi\times3.61\times 10=36.1\pi\approx36.1\times3.14 = 113.354\approx113\) (rounded to the nearest whole number)

Step3: Calculate the total volume

The total volume \(V = V_1+V_2\).
\(V=734 + 113=847\)

Answer:

734 cubic centimeters
113 cubic centimeters
847 cubic centimeters