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1 answer:
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Answer:
<em>The mass of the steel ball is 4,235.9 gr</em>
Step-by-step explanation:
<u>Density</u>
The density ρ of a substance is a measure of its mass per unit volume:
If the density and the volume are given, the mass can be calculated by solving the above formula for m:
We know the density of pure steel ρ=8.09 gr/cm3 and the diameter of a solid steel ball d=10 cm.
We need to calculate the volume of the sphere:
The volume of a sphere of radius r is given by:
The radius is half the diameter: r= 10/2 = 5 cm. Thus:
Calculating:
The mass is:
m=4,235.9 gr
The mass of the steel ball is 4,235.9 gr
Answer:
The slant of the ladder is 5 ft
Step-by-step explanation:
Look at the attached figure to understand this situation
∵ a represents the distance from the edge to the top step
∵ The distance from the edge to the top step is 4 ft
∴ a = 4 ft
∵ b represents the distance to the house's edge from the bottom step
∵ The distance to the house's edge from the bottom step is 3 ft
∴ b = 3 ft
∵ c represents the slant of the ladder
∴ We need to find c
→ By using the Pythagoras Theorem
∵ c =
∴ c =
∵ = 5
∴ c = 5 ft
∴ The slant of the ladder is 5 ft
