Question

valeria purchases a can of chicken noodle soup and a can of tomato soup. the can of chicken noodle soup has a height of 4 inches and a radius of 2 inches. what is the volume of the can of chicken noodle soup?
round your answer to the nearest whole number.
cubic inches
the can of tomato soup has the same volume, but a radius of 2.5 inches. what is the height of the can of tomato soup?
round your answer to the nearest tenth.
inches

Explanation:

Step1: 计算鸡肉面条汤罐的体积

圆柱体积公式为 \(V = \pi r^{2}h\)，其中 \(r = 2\) 英寸，\(h = 4\) 英寸。
\(V=\pi\times2^{2}\times4\)
\(V = 16\pi\approx16\times3.14 = 50.24\approx50\)（立方英寸）

Step2: 计算番茄汤罐的高度

已知番茄汤罐体积 \(V = 50\) 立方英寸，半径 \(r = 2.5\) 英寸。
由 \(V=\pi r^{2}h\) 可得 \(h=\frac{V}{\pi r^{2}}\)。
\(h=\frac{50}{\pi\times(2.5)^{2}}\)
\(h=\frac{50}{6.25\pi}\approx\frac{50}{6.25\times3.14}\approx\frac{50}{19.625}\approx2.5\)（英寸）

Answer:

50 立方英寸
2.5 英寸