The spheres are similar. The surface area of the blue sphere is 2827.4 square centimeters. What is the surface area of the red sphere? Round your answer to the nearest tenth.

Area of the red sphere is 314.2 cm²

Step-by-step explanation:

See attachment for complete details of the question

Given

Blue Sphere:

Radius, R = 15 cm

Surface Area, A = 2827.4 cm²

Red Sphere

Radius, r = 5 cm

Required

Calculate the surface area of the red sphere.

As long as the red sphere is similar to the blue sphere, the surface area of the sphere is calculated using the following formula

Area = 4πr²

Given that the radius of the red sphere is 5 cm

The surface area of the red sphere is calculated by substituting 5 cm for r in the above formula.

So,

Area = 4 * π * 5²

Area = 4π * 25

Area = 100 π (Taking π as 3.142)

Area = 100 * 3.142

Area = 314.2 cm²

Hence, the area of the red sphere is 314cm²

step-by-step explanation:

given expression is .

now we need to simplify the given expression .

we know that square root is equivalent to the power 1/2. so that means we can take half of the exponents to get the square root of given expression.

expanding that will give a very very large number so let's keep answer in exponent form.