Answer:
volume of the larger solid = 686 cm³
Explanation:
The solids are similar . A solid is similar if all the corresponding sides are proportional . They are similar if they are the same type of solids and their corresponding sides like height, radius etc are proportional.
The ratio of the surface area of a similar solid is equal to the square of their scale factor.
(a/b)² = 441/225
square root both sides
a/b = √441/√225
a/b = 21/15
The ratio of the volume of a similar solid is equal to the cube of their scale factor.Therefore,
(21/15)³ = a/250
9261 /3375 = a/250
cross multiply
9261 × 250 = 3375a
2315250 = 3375a
divide both sides by 3375
a = 2315250/3375
a = 686 cm³
volume of the larger solid = 686 cm³