Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Mensuration: 3D

Question:

60 discs each of diameter 21 cm and thickness $\frac{1}{3}$ cm are stacked one above the other to form right circular cylinder. What is its volume in $m^3$ if $\pi = \frac{22}{7}$?

Options:

$6.93 \times 10^{-3}$

$8.05 \times 10^{-3}$

$4.25 \times 10^{-2}$

$7.62 \times 10^{-2}$

Correct Answer:

$6.93 \times 10^{-3}$

Explanation:

We know that,

Volume of the cylinder = πr2h

We have,

The diameter of the disc = 21 cm

Then the radius = r = \(\frac{21}{2}\) cm

Height of 60 discs if they stacked one above the other = 60 × \(\frac{1}{3}\) = 20 cm

So,

Volume of the cylinder = \(\frac{22}{7}\) × \(\frac{21}{2}\) × \(\frac{21}{2}\) × 20 = 6930 cm3

As we know, 1 cm3 = 10-6 m

6930 cm3 = 6.93 × 10-3 m