Question

NEET & AIIMS
radius of a spherical body is (10 + 0.5) cm.
Then correct option is/are
(1) The percentage error in radius is 5%
(2) The percentage error in volume is 10%
(3) The percentage error in volume is 15%
(4) Both (1) & (3)
82​

Answer 1

percentage error = 0.5 / 10 × 100 = 5% Ans.

Percentage error in volume = 3 × 0.5 / 10 × 100

= 15%

Answer 2

Explanation:

∆r/r * 100

0.5/10 *100

100/20 = 5%

v = 4/3 πr³

∆v /v *100 = 3 * % Error in r

%error in v = 3*5 = 15%