Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Mensuration: 3D

Question:

How many spherical balls of radius 1 cm can be made by melting a hemisphere of radius 6cm?

Options:

112

108

116

104

Correct Answer:

108

Explanation:

Volume of a hemisphere = \(\frac{2}{3}\) \(\pi \) r3 = \(\frac{2}{3}\) \(\pi \) 63

Volume of a sphere = \(\frac{4}{3}\) \(\pi \) r3 = \(\frac{4}{3}\) \(\pi \) 13

No. of spherical balls = \(\frac{Vol.\;of\;hemisphere}{Vol.\;of\;sphere}\) = \(\frac{216}{2}\) = 108