Respuesta :
Answer:
The answer is option 2, V = π × 4 squared × 16.
Step-by-step explanation:
It is given that the formula of volume of cyclinder is V = πr²h, where r is the radius and h is the height :
Let r = 4 inches,
Let h = 16 inches,
V = π×4²×16
The equation that can be used to find the volume of the cylinder with radius of 4 inches and height of 16 inches is given by: Option B: [tex]V = \pi (4)^2(16)[/tex] (in sq. inches)
What is the volume of a cylinder?
Suppose that the radius of considered cylinder be 'r' units. And let its height be 'h' units.
Then, its volume is given as:
[tex]V = \pi r^2 h \: \rm unit^3[/tex]
For this case, we're specified that:
- Radius of the considered cylinder = 4 inches
- Height of the cylinder = 16 inches
Thus, the volume of the cylinder is evaluated as:
[tex]V = \pi r^2 h = \pi (4)^2 \times 6\: \rm in^3[/tex]
Thus, the equation that can be used to find the volume of the cylinder with radius of 4 inches and height of 16 inches is given by: Option B: [tex]V = \pi (4)^2 (16) \: \rm[/tex] (in sq. inches)
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