Question

jennifer made an apple pie and a cherry pie that she will sell at the schools bake sale. both pies are shaped like cylinders. the apple pie has a diameter of 10 inches and a height of 2 inches. what is the volume of the apple pie? round your answer to the nearest whole number. cubic inches the cherry pie has a diameter of 9 inches and a height of 2 inches. what is the volume of the cherry pie? round your answer to the nearest whole number. cubic inches what is the total volume of the pies that jennifer made? round your answer to the nearest whole number. cubic inches

Explanation:

Step1: 求苹果派体积

圆柱体积公式\(V = \pi r^{2}h\)，苹果派直径\(d = 10\)英寸，则半径\(r=\frac{d}{2}=5\)英寸，高\(h = 2\)英寸。代入公式得\(V_{apple}=\pi\times5^{2}\times2\)。
计算\(V_{apple}=\pi\times25\times2 = 50\pi\approx50\times3.14 = 157\)（立方英寸）。

Step2: 求樱桃派体积

樱桃派直径\(d = 9\)英寸，则半径\(r=\frac{d}{2}=4.5\)英寸，高\(h = 2\)英寸。代入圆柱体积公式\(V = \pi r^{2}h\)，得\(V_{cherry}=\pi\times4.5^{2}\times2\)。
计算\(V_{cherry}=\pi\times20.25\times2 = 40.5\pi\approx40.5\times3.14 = 127.17\approx127\)（立方英寸）。

Step3: 求总体积

总体积\(V_{total}=V_{apple}+V_{cherry}\)，即\(V_{total}=157 + 127=284\)（立方英寸）。

Answer:

苹果派体积：\(157\)立方英寸；樱桃派体积：\(127\)立方英寸；总体积：\(284\)立方英寸。