Answer:
If we assume that the bottle is cylindrical and we take the same radius (3.26) of both the bottles (bottles only differ in heights) then the larger bottle will hold approximately 701.14 ml of fluid (the answer says 700ml which is very close)
Step-by-step explanation:
Step 1: Formula of volume of a cylinder is pi*r^2*h
where value of pi is 3.14
r is the radius
h is the height of the bottle (height is different for both bottles)
After putting the values and estimated radius for both as 3.26, we get the volume of the taller bottle.
You can extract the radius by following this method:
Volume of a cylinder = pi*r^2*h (now put the value of the known volume and height of the smaller cylinder)
500 = 3.14 * (r)^2 *15
500/(3.14*15) = r^2
10.616 = r^2
Taking sqrt. on both sides
We get r = 3.26
Now put the same value in the formula of volume with the radius and height. You will get the answer for second bottle.
V= 3.14 * (3.26)^2 *21
V= 701.14 (approx)