Two similar bottles are shown. the smaller bottle can hold 500ml. how much can the larger bottle hold.
the smaller bottle is 15 cm in height and the larger bottle is 21 cm in height

Answer is 700 ml.

Explanation:

The bottles are similar, means they have same radius but different heights.

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)

Step 2: 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:

Step 3: 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

Step 4: 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)