Question

A stone displaces $10mL$ of water. Its volume is __________.

• A. $\frac{1}{100}{m}^3$
• B. $\frac{1}{1000}{m}^3$
• C. $\frac{1}{10000}{m}^3$
• D. $\frac{1}{100000}{m}^3$

Answer 1

The correct option is D

$\frac{1}{100000}{m}^3$

Step 1: Given data

Volume of water $=10mL$

We know that

$1mL={10}^{-6}{m}^3$

So,

$10mL=\left(10\times {10}^{-5}\right)m^3={10}^{-5}{m}^3$

Volume of water $={10}^{-5}{m}^3$

Step 2: To find the volume of stone

From Archimedes principal,

Volume of stone $=Volumeofwater$

So,

Volume of stone $={10}^{-5}{m}^3=\frac{1}{100000}{m}^3$

Hence, the volume of stone $=\frac{1}{100000}{m}^3$