Two similar cylindrical cans have heights of 7cm and 21cm, if the smaller holds 250g of sugar, how many kg of sugar will the larger one hold?
- 0.75
- 1.5
- 2.25
- 3.5
-
6.75
The correct answer is: E
Explanation
- If two solids are similar, the ratio of their volumes is equal to the cube of the ratio of their corresponding sides.
Given: Heights of cylinder --> 21 : 7 or 3 : 1 = \(\frac{3}{1}\)
= 3 times height enlargement
Volume / Capacity of larger cylinder = 3\(^3\) \(\times\) 250g
= 27 \(\times\) 250g = 6,750 or 6.75kg