帮我算个题呗?没有尖的圆锥,求体积上直径0.29m,下直径0.24m,高0.35m

Question

帮我算个题呗?没有尖的圆锥,求体积 上直径0.29m,下直径0.24m,高0.35m

Answer 1

V=1/3*pai*(R^2+Rr+r^2)*h
推导过程：
S1=pai*r1^2
S2=pai*r2^2
H1-H2=h
R/(H2+h)=r/H2
H2=rh/(R-r)
H1=H2+h=Rh/(R-r)
V=1/3*pai*R^2*H1-1/3*pai*r^2*H2
=1/3*pai*R^2*Rh/(R-r)-1/3*pai*r^2*rh/(R-r)
=1/3*pai*h*(R^3-r^3)/(R-r)
=1/3*pai*(R^2+Rr+r^2)*h
代入公式有
V=1/3*π *[（0.29/2）²+（0.29/2*0.24/2）+0.12²]*0.35
=π/3*0.052825*.35
≈0.0194 立方米