Question

If the error in the measurement of radius of a sphere is 2%, then error in the determination of volume of the sphere will be ______.

Options

• 8%

• 2%

• 4%

• 6%

Answer 1

If the error in the measurement of radius of a sphere is 2%, then error in the determination of volume of the sphere will be 6%.

Explanation:
Volume of a sphere \[V=\frac{4}{3}\pi r^3\]

Percentage error in V = 3 × error in r
= 3 × 2% = 6%