MCQ - 124-11976

Correct Answer: B

Explanation:

Recall the equation for the volume of a sphere:

V = (4/3)πr³

If we increase the radius by 50%, we can represent the new radius as being equal to r + 0.5r = 1.5r.

Replace this into the equation for the volume and simplify:

V² = (4/3)π(1.5r)³ = (4/3)π(3.375r³)

Rewrite this so that you can compare the two volumes:

V² = 3.375 × (4/3)πr³ = 3.375 × [(4/3)πr³]

This is the same as:

V² = 3.375 × V

This means that the new volume is 337.5% of the original. However, note that the question asked for the increase, which would be an increase of 237.5%.