要锻造直径为60mm,高为30mm的圆柱形毛坯,需截取直径为40mm的圆钢长(  ) A.67.5mm B.45mm C.135mm D.90mm

问题描述:

要锻造直径为60mm,高为30mm的圆柱形毛坯,需截取直径为40mm的圆钢长(  )
A. 67.5mm
B. 45mm
C. 135mm
D. 90mm

设需截取直径为40mm的圆钢长xmm,
得方程:π×(

60
2
2×30=π×(
40
2
2×x,
解得x=67.5.
故选A.