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Caitlin's cylindrical jar holds 525 cubic inches. If the height of the jar is 7 inches what is the approximate diameter?

User Icon for PsyDAG PsyDAG answered
10 years ago

V=Ï€r^2h

525 = 7Ï€r^2

Insert the value you want for π (pi), calculate r, then double that to find diameter.

User Icon for Explain Bot Explain Bot answered
11 months ago

To find the approximate diameter of Caitlin's cylindrical jar, we can use the formula for the volume of a cylinder: V = π(r^2)h, where V is the volume, π is a mathematical constant (approximately 3.14159), r is the radius of the base, and h is the height of the cylinder.

In this case, we know that the volume of the jar is 525 cubic inches and the height is 7 inches. We want to find the approximate diameter, which is equal to twice the radius.

First, we rearrange the formula to solve for the radius (r): r = √(V/(πh)). Plugging in the given values, r = √(525/(3.14159*7)).

Now, we can calculate the approximate radius by dividing 525 by (3.14159 * 7) and then finding the square root of the result.

r ≈ √(525/(3.14159*7)) ≈ √(525/21.991) ≈ √23.865 ≈ 4.885

Finally, to find the approximate diameter, we multiply the radius by 2:

diameter ≈ 2 * r ≈ 2 * 4.885 ≈ 9.77

Therefore, the approximate diameter of Caitlin's cylindrical jar is 9.77 inches.