Question

the radius of sphere is 5.3+- 0.1 calculate the percentage error

Answer 1

Hey,

The volume is given as

V = (4/3)πr3

so, V = (4/3) x 3.14 x 5.33

thus, V = 623.30 cm3

now, the error equation

ΔV/V = 3(Δr/r)

or, ΔV = V x 3(Δr/r)

thus, ΔV = 623.30 x 3x(0.1/5.3)

or error in surface area, ΔV = +/- 35.28 cm3

thus, ΔV/V x 100 = (35.28/623.30) x 100

so, ΔV/V x 100 = 5.66 %

HOPE IT HELPS:-))