SOMEONE CAN PLZ EXPLAIN IN DETAIL HOW TO SOLVE THIS PROBLEM..THNKS

Molar Volume of Sodium
If you assume that an atom is a hard sphere, you can estimate the average volume of space it occupies using basic geometry.

Question

Estimate the volume, V , of a sodium atom ( Na ) using its metallic radius of 186

Part A: 2.7*10^7

Part B: 16.3
Part C: D

Isn't the volume of a sphere

4/3(pi)r3?

yes it is .. can u slove it plz

186 what units? What units do you want the answer?

(4/3)*3.14*1863 = ??

If you assume that an atom is a hard sphere, you can estimate the average volume of space it occupies using basic geometry.

Estimate the volume,V , of one sodium atom (Na) using its metallic radius of 186 pm .

Express your answer in cubic picometers.

The molar mass of Na is 22.99g

The density of solid sodium is 0.97g/cm^3
(22.99g/mol) / (0.97g/cm^3) = _____________
What are the units of the above value

To estimate the volume of a sodium atom (Na) using its metallic radius of 186, we can make use of basic geometry. Here are the steps to solve this problem:

Step 1: Understand the Problem
We are given the metallic radius of a sodium atom and need to estimate its volume. To do this, we will assume that the atom is a hard sphere.

Step 2: Recall the Formula for the Volume of a Sphere
The formula for the volume of a sphere is V = (4/3)πr^3, where V is the volume and r is the radius.

Step 3: Plug in the Values
We know that the radius of the sodium atom (Na) is given as 186. We can now substitute this value into the formula to calculate the volume:
V = (4/3)π(186)^3

Step 4: Calculate the Volume
To find the volume, perform the necessary calculations. Remember to use the value of π as approximately 3.14 and make sure to follow the order of operations (parentheses, exponentiation, multiplication, division, addition, and subtraction):
V = (4/3) × 3.14 × (186)^3

Step 5: Evaluate the Expression
Use a calculator to evaluate the expression.

Step 6: Round the Answer
After calculating the volume, round the answer to an appropriate number of significant figures or decimal places, depending on the level of precision required.