Question

The spheres are similar. Find the surface area S of the red sphere. Round your answer to the nearest whole number. Blue Sphere Radius=20in Red Sphere Radius=15in Surface Area ≈ 5027in squared

Answer 1

Answer:

Therefore,

Surface area of Red sphere is 2826 square in.

Step-by-step explanation:

Given:

Blue Sphere Radius=20 in

Red Sphere Radius=15 in

pi = 3.14 ( also you can take $\pi =\dfrac{22}{7}$ )

To Find:

the surface area 'S' of the red sphere = ?

Solution:

Surface area of sphere for radius 'r' is given as

$\textrm{Surface area of sphere}=4\pi\times r^{2}$

Substituting the values we get

For Red Sphere,

Radius = 15 in

$\textrm{Surface area of Red sphere}=4\times 3.14\times 15^{2}=2826\ in^{2}$

Therefore,

Surface area of Red sphere is 2826 square in.

Similarly, you can find for Blue Sphere also

Also you will have different value for $\pi =\dfrac{22}{7}$

$\textrm{Surface area of Red sphere}=4\times \dfrac{22}{7}\times 15^{2}=2828.57\approx 2829\ in^{2}$