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?
A. 0.75 B. 1.5 C. 2.25 D. 3.5 E. 6.75
Correct Answer: 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
