To find the scale factor of surface areas, we need to take the square root of the ratio of the volumes of the two spheres.
For the smaller sphere with a volume of 250 yd^3, the radius would be cube root of (250/((4/3) * π)) = cube root of (750/3.14) = cube root of 238.5 ≈ 6.57 yards.
For the larger sphere with a volume of 686 yd^3, the radius would be cube root of (686/((4/3) * π)) = cube root of (2058/3.14) = cube root of 654.14 ≈ 8.07 yards.
The scale factor is then 8.07 / 6.57 ≈ 1.23.
Therefore, the scale factor of surface areas of the smaller sphere to the larger sphere is approximately 1.23.
What is the scale factor of surface areas of the smaller sphere to the larger sphere?
small- 250 yd ^3
large - 686 yd ^3
1 answer