Two solid spheres have volumes 250cmo and 128cmo respectively. Find the ratio of their radii.

Answer Details

The ratio of the volumes of two spheres is equal to the cube of the ratio of their radii. Therefore, (volume of first sphere) / (volume of second sphere) = (radius of first sphere)³ / (radius of second sphere)³ Given the volumes of the spheres as 250 cm³ and 128 cm³, we have: 250 / 128 = (radius of first sphere)³ / (radius of second sphere)³ Simplifying this equation, we get: (radius of first sphere) / (radius of second sphere) = (250 / 128)^1/3 Using a calculator, we can evaluate the cube root of 250/128 to be approximately 1.25. Therefore, the ratio of the radii of the two spheres is: (radius of first sphere) / (radius of second sphere) = 1.25 Simplifying this ratio, we can express it as 5:4. Therefore, the correct answer is 5:4.