The ratio of the volumes of two spheres is given as 1:8.

The volume of a sphere is given by the formula V = 4/3 * π * r³, where r is the radius of the sphere.

If the ratio of the volumes is 1:8, then the ratio of the radii cubed is also 1:8.

Taking the cube root of both sides to find the ratio of the radii, we get the ratio of the radii as 1:2.

The surface area of a sphere is given by the formula A = 4 * π * r².

Therefore, the ratio of their surface areas is the square of the ratio of their radii, which is (1:2)² = 1:4.

So, the ratio of their surface areas is 1:4.

Question

The ratio of the volumes of two spheres is given as 1:8.

The volume of a sphere is given by the formula V = 4/3 * π * r³, where r is the radius of the sphere.

If the ratio of the volumes is 1:8, then the ratio of the radii cubed is also 1:8.

Taking the cube root of both sides to find the ratio of the radii, we get the ratio of the radii as 1:2.

The surface area of a sphere is given by the formula A = 4 * π * r².

Therefore, the ratio of their surface areas is the square of the ratio of their radii, which is (1:2)² = 1:4.

So, the ratio of their surface areas is 1:4.

Knowee AI · Accepted Answer

The ratio of the volumes of two spheres is given as 1:8.

The volume of a sphere is given by the formula V = 4/3 * π * r³, where r is the radius of the sphere.

If the ratio of the volumes is 1:8, then the ratio of the radii cubed is also 1:8.

Taking the cube root of both sides to find the ratio of the radii, we get the ratio of the radii as 1:2.

The surface area of a sphere is given by the formula A = 4 * π * r².

Therefore, the ratio of their surface areas is the square of the ratio of their radii, which is (1:2)² = 1:4.

So, the ratio of their surface areas is 1:4.

If the ratio of the volumes of two spheres is 1 : 8. then the ratio of their surface area is