Question

已知锥体上直径,下直径,高,求展开图半径

Answer 1

已知锥体上直径d1,下直径d2,高h,求展开图半径R1,R2和圆心角A?

R1-R2=(h^2+((d1-d2)/2)^2)^0.5

A=PI*d1/R1=PI*d2/R2

d1/R1=d2/R2

R2=R1*d2/d1

R1-R1*d2/d1=(h^2+((d1-d2)/2)^2)^0.5

R*(d1-d2)=d1*(h^2+((d1-d2)/2)^2)^0.5

R1=d1*(h^2+((d1-d2)/2)^2)^0.5/(d1-d2)

R2=d2*(h^2+((d1-d2)/2)^2)^0.5/(d1-d2)

A=PI*d1/R1