Question

a cylindrical pipe is cut into 4 pieces 1:2:3:4. find the ratio of their volume​

Answer 1

Cylindrical pipe is cut into 4 pieces 1:2:3:4.

• Let the total length be L
• length of each pipe will be in the ratio 1:2:3:4.

• length of each pipe will so be:
• $L_{1}$ = $\frac{1}{10}$ ; $L_{2}$ = $\frac{1}{5}$ ; $L_3$ = $\frac{3}{10}$ ; $L_4$ = $\frac{2}{5}$
• Volume of a cylinder = π$r^{2}$$L$ .
• So, as the radius remains constant and only the length changes, the volume also will be in the ratio 1:2:3:4.