The spheres are similar. The surface area of the blue sphere is 9160.9 square centimeters with a radius of 27cm. What is the surface area of the red sphere with a radius of 6cm? Round your answer to the nearest tenth.

The surface area of the red sphere is 452.4 cm²

Step-by-step explanation:

The question here is easy to calculate provided you understand it and apply the formula necessary for deriving the answer and it says that two spheres are similar. The surface area of the blue sphere is 9160.9 square centimeters with a radius of 27cm. What is the surface area of the red sphere with a radius of 6cm

Surface area of a sphere is given as 4 * pi * r²

And if we have he radius as 6 cm, we can then input the figured so as to get the surface area of this sphere.

Remember that pi = 22/7 or 3.142

4 * 22/7 * 6² = 452.4 cm²

452.5 square centimeters

Step-by-step explanation:

A sphere is a three-dimensional ball-shaped object. The surface area refers to the total area of the surfaces of a 3D shape. The surface area of a sphere can be calculated using the formula: A = 4πr^2

Where r = radius

A = surface area

π = 22/7 or 3.142

According to the question, there are two spheres; one of red color and the other one is blue color. The surface area of the blue sphere with radius 27cm has been calculated already using:

A = 4πr^2

A = 4 * 3.142 * 27 * 27

A = 9160.9

Now, using the same formula but a smaller radius of 6cm, we can calculate the surface area of the red sphere;

A = 4πr^2

A = 4 * 3.142 * 6 * 6

A = 452.445

Hence, the surface area of the red sphere to the nearest tenth is 452.5 square centimeters.