Chapter 9.4, Problem 44PPS

To determine

To find: Approximate volume of the sand art bottle.

Answer to Problem 44PPS

The approximate volume of the sand art bottle is ${10}^6$ cubic millimetres

Explanation of Solution

Given information:

Volumeof grain of sand is $\frac{1}{10,000}$ cubic millimetres and an empty bottle can hold sand of grains about ${10}^{10}$ grains of sand.

Formula used:

We will use unitary method.

That is first calculate volume for $1$ quantity and then multiply with required quantity.

Calculation:

Consider the statement that volume of grain of sand is $\frac{1}{10,000}$ cubic millimetres and an empty bottle can hold sand of grains about ${10}^{10}$ grains of sand.

Volume of $1$ sand of grain is $\frac{1}{10,000}$ cubic millimetres then recall the unitary method above mentioned.

Therefore approximate volume of sand art bottle is

Volume of 1 grain of sand is $\frac{1}{10,000}$ cubic millimetres,

Then volume of ${10}^{10}$ grains of sand is ${10}^{10}*\frac{1}{10000}={10}^{10}*{10}^{-4}={10}^6$ .

Therefore approximate volume of the sand art bottle is ${10}^6$ cubic millimetres.