Answer :
The volume of a cylindrical shape can be calculated by multiplying the area of the base (πr²) by the height (h). The formula for the volume of a cylinder is V = πr²h.
To calculate the volume of a cylindrical can, we need to use the formula: V = πr²h, where V represents the volume, r represents the radius, and h represents the height of the can.
From the given dimensions, we can deduce that the diameter of the can is 3 inches, which means the radius (r) is half of that, i.e., 3/2 = 1.5 inches.
The height of the can (h) is given as 2 inches.
Now, we can substitute these values into the volume formula:
V = π(1.5)²(2)
= 3.14159 * (1.5)² * 2
= 3.14159 * 2.25 * 2
= 14.13716 cubic inches
To express the volume in terms of 7π, we divide the calculated volume by π and multiply by 7:
Volume = (14.13716 cubic inches / π) * 7
Simplifying further:
Volume = 14.13716 * 7
= 98.96012 cubic inches
Therefore, the volume of the cylindrical can, in terms of 7π, is approximately 98.96012 cubic inches.
However, none of the answer options provided match this value exactly.
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