Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Mensuration: 3D

Question:

A hollow spherical ball is made of an iron material of weight 10g/m³. The ball has external radius of 7 m and thickness of 15 cm. Find the weight of the ball?

Options:

869.66 g

893.26 g

904.3 g

1012 g

Correct Answer:

904.3 g

Explanation:

15 cm = 0.15m

R = 7m , r = 7 - 0.15 = 6.85 m

Now,

Weight of ball = volume × g/m3

volume = \(\frac{4}{3}\) \(\pi \)(R3 - r3)

            = \(\frac{4}{3}\) × \(\frac{22}{7}\) (73 - (6.85)3)

            = \(\frac{4}{3}\) × \(\frac{22}{7}\) × 21.58

            = 90.43 m3

Therefore, weight = 90.43 × 10 = 904.3 g