Caitlin's cylindrical jar holds 525 cubic inches. If the height of the jar is 7 inches what is the approximate diameter?
V=πr^2h
525 = 7πr^2
Insert the value you want for π (pi), calculate r, then double that to find diameter.
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.