Answer:
12π ≈ 37.7 cubic centimeters
Step-by-step explanation:
The volume of the cylinder can be found using the appropriate formula.
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<h3>dimensions</h3>
The cylinder is marked as having a diameter of 4 cm, and a height of 3 cm. The radius of the cylinder is half the diameter:
r = d/2
r = (4 cm)/2 = 2 cm
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<h3>formula for volume</h3>
The formula for the volume of a cylinder is ...
V = πr²h . . . . . . where r is the radius and h is the height
Using the dimensions given, we find the volume to be ...
V = π(2 cm)²(3 cm) = π(4 cm²)(3 cm) = 12π cm³
Written as a decimal, the volume is about ...
12π cm³ ≈ 37.70 cm³ . . . . volume of the cylinder
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<em>Additional comment</em>
You probably noticed that we used the units in the formula along with the numbers. Units abbreviations can be manipulated algebraically the same way any other variable can be:
x · x = x²
cm · cm = cm²
Computing the volume in more steps, we have ...
V = π(2 cm)²(3 cm)
= π(2 cm)(2 cm)(3 cm) . . . . expanding the square term
= π(2)(2)(3)(cm)(cm)(cm) . . . . we can rearrange the factors of a product
= π(12)(cm³)
= 12π cm³
