Question

If radius of a cylinder is decreased by 4%, while its height is increased by
2%, then what will be effect on volume?​

Answer 1

Answer:

Step-by-step explanation:

Answer 2

Step-by-step explanation:

we know that volume of cyclinder is ( π R² H )

if radius decreased by 4°/. it maens that

R becomes R - 4/100 R = 24/25R

also,

if height is increased by 2°/. then,

H becomes H + 2/100 H = 51 / 50 H

so our new volume is

V' = π 24/25 × 24/25 R² 51/ 50 H

now by dividing new volume from old volume we get,

V/V' = π R² H / π R² H 24÷ 25 24 ÷ 25 51 ÷ 50

So,

V/ V' = 25 × 25 × 50 / 24 × 24 × 51

V/V' = 1.06

so V = 1.06V'

from this we conclude that the volime was increased 1.06 times if we increase height 2 percent and decrease radius 4 percent