Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Mensuration: 3D

Question:

If the radius of a sphere is increased by 33.33%, its volume is increased by how much percent? -

Options:

137.03%

100%

33.33%

no change

Correct Answer:

137.03%

Explanation:

New radius = \(\frac{4}{3}\) r( i.e.original radius)

Changed Volume = \(\frac{4}{3}\) \(\pi\) (\(\frac{4}{3}\) r)³ =  \(\frac{4}{3}\) \(\pi \) \(\frac{64}{27}\) r³ = 137.03% increase