Multiple Choice
Iron crystallizes with a body-centered cubic unit cell. The radius of an iron atom is 126 pm. Calculate the density of solid crystalline iron in grams per cubic centimeter.
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1. Intro to General Chemistry
Density of Geometric Objects
Multiple Choice
A table tennis ball has a diameter of 4.0 cm. What is its volume in cm^3? (Assume the ball is a perfect sphere.)
A
33.5 cm^3
B
50.3 cm^3
C
16.8 cm^3
D
25.1 cm^3
Verified step by step guidance1
Identify the shape of the object: The table tennis ball is a perfect sphere.
Recall the formula for the volume of a sphere: \(V = \frac{4}{3} \pi r^{3}\), where \(r\) is the radius of the sphere.
Calculate the radius of the ball by dividing the diameter by 2: \(r = \frac{4.0\ \text{cm}}{2} = 2.0\ \text{cm}\).
Substitute the radius value into the volume formula: \(V = \frac{4}{3} \pi (2.0)^{3}\).
Simplify the expression by calculating the cube of the radius and then multiply by \(\frac{4}{3} \pi\) to find the volume in cm\(^{3}\).
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