Question

将底面周长25.12米,高3米的一堆圆锥形小麦装进底面直径是8米的圆柱形粮仓,正好装满,这个粮仓的高是多少米?

Answer 1

圆锥形小麦体积=1/3 pi*r^2*h
则圆柱形粮仓高=1/3 pi*d锥^2/4*h / (pi*d柱^2/4)
=d锥^2*h/ 3/d柱^2
=(25.12/pi)^2*3/3/8^2
=1
这个粮仓的高是1米

Answer 2

圆锥体积
V=1/3*S*h S为底面圆面积

小麦体积
=1/3*π*(25.5/(2π))^2*3
=51.75

圆柱高
=51.75/(4*4*π)
=1.026

Answer 3

圆锥体积=3.14×(底面周长÷3.14÷2)²×高÷3
=3.14×(25.12÷3.14÷2)²×3÷3
=50.24 M³
圆柱粮仓高=圆锥体积÷圆柱底面积
=50.24÷(3.14×8²÷4)
=1 M

Answer 4

V=1/3*(25.12/(2*Pi))^2*Pi*3=50.2145
V/(8/2)^2/Pi=0.999