Question

what is the volume of this cone?
round your answer to the nearest hundredth.
14 in
12 in
cubic inches
submit
work it out
not feeling ready yet? these can help:
area of circles
lesson: volume of cones

Explanation:

Step1: 求圆锥底面半径

已知圆锥底面直径为\(12\)英寸，根据半径\(r=\frac{d}{2}\)（\(d\)为直径），可得\(r = \frac{12}{2}=6\)英寸。

Step2: 代入圆锥体积公式

圆锥体积公式为\(V=\frac{1}{3}\pi r^{2}h\)（\(h\)为圆锥的高），已知\(h = 14\)英寸，\(r = 6\)英寸，\(\pi\)取\(3.14\)，则\(V=\frac{1}{3}\times3.14\times6^{2}\times14\)。
先计算\(6^{2}=36\)，则\(V=\frac{1}{3}\times3.14\times36\times14\)。
再计算\(\frac{1}{3}\times36 = 12\)，则\(V=3.14\times12\times14\)。
接着计算\(3.14\times12 = 37.68\)，则\(V=37.68\times14\)。
最后\(37.68\times14 = 527.52\)。

Answer:

\(527.52\)