Question

rosa has two cylindrical pots for her flowers. the tulip pot has a height of 15 inches and a radius of 6 inches. what is the volume of rosas tulip pot? round your answer to the nearest whole number. cubic inches rosas daisy pot has the same volume, but a radius of 14 inches. what is the height of her daisy pot? round your answer to the nearest whole number. inches

Explanation:

Step1: 计算郁金香花盆体积

圆柱体积公式为 \(V = \pi r^{2}h\)，已知郁金香花盆\(h = 15\)英寸，\(r = 6\)英寸，代入公式：
\(V=\pi\times6^{2}\times15\)
\(=\pi\times36\times15\)
\(=540\pi\)
\(\approx540\times3.14 = 1695.6\)，四舍五入到最近整数为\(1696\)。

Step2: 计算雏菊花盆高度

已知雏菊花盆体积\(V = 1696\)（与郁金香花盆体积相同），\(r = 14\)英寸，根据\(V=\pi r^{2}h\)，可得\(h=\frac{V}{\pi r^{2}}\)，代入：
\(h=\frac{1696}{\pi\times14^{2}}\)
\(=\frac{1696}{3.14\times196}\)
\(=\frac{1696}{615.44}\approx2.756\)，四舍五入到最近整数为\(3\)。

Answer:

1696
3