30 students could of been taking both courses and 60 with no course
Answer:
22.88 cm^3
Step-by-step explanation:
The volume of a sphere formula is (4/3)*pi * (radius)^3
Since the diameter is 5.08cm, we divide by 2 to find the radius which is 2.54 cm.
Also because of the fact that 2/3 is showing outside the cone, that means 1/3 is inside the cone. Therefore, we have to multiply the volume by 1/3.
We have:
Volume = (4/3) * pi * (2.54)^3 * (1/3)
= 22.88 cm^3
Multiply 12 slices by 2/3:
12 x 2/3 = (12 x 2) /3 = 24/3 = 8
The answer is 8
Based on dimensional analysis and unit conversion theory we conclude that an area of 359 square inches is equivalent to an area of 2.5 square feet.
<h3>How to apply dimensional analysis in unit conversion</h3>
In this question we need to convert a magnitude in a given unit to an <em>equivalent</em> magnitude with another unit. According to dimensional analysis, <em>unit</em> conversions are represented by the following expression:
y = A · x (1)
Where:
- x - Original magnitude, in square inches.
- y - Resulting magnitude, in square feet.
- A - Conversion factor, in square feet per square inch.
Dimensionally speaking, area is equal to the product of length and length:
[Area] = [Length] × [Length]
And a feet is equivalent to 12 inches. Now we proceed to convert the magnitude to square feet:
x = 359 in² × (1 ft/12 in) × (1 ft/12 in)
x = 359 in² × (1 ft²/144 in²)
x = 2.5 ft²
Based on dimensional analysis and unit conversion theory we conclude that an area of 359 square inches is equivalent to an area of 2.5 square feet.
To learn more on unit conversions: brainly.com/question/11795061
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