A sphere has a radius of 3x + 2. Which polynomial in standard form best describes the total surface area of the sphere? Use the formula S = 4(pi)r^2 for the surface area of a sphere.

Answer choices:
16(pi)x^2 + 16(pi)
16(pi)x^2 + 48(pi)x + 16(pi)
36(pi)x^2 + 48(pi)x + 16(pi)
36(pi)x^2 + 24(pi)x + 16(pi)

Question

A sphere has a radius of 3x + 2. Which polynomial in standard form best describes the total surface area of the sphere? Use the formula S = 4(pi)r^2 for the surface area of a sphere.

Answer choices:
16(pi)x^2 + 16(pi)
16(pi)x^2 + 48(pi)x + 16(pi)
36(pi)x^2 + 48(pi)x + 16(pi)
36(pi)x^2 + 24(pi)x + 16(pi)

yanasidlinskiy · Answer

The surface area is $$S=4\pi r^2$$ as you are given and you know that the radius is r=$$3x+2$$ .  If you substitute that into the equation and simplify what do you get?
$$S=4\pi(3x+2)^2$$

anonymous · Answer

36(pi)x^2 + 48(pi)x + 16(pi)

yanasidlinskiy · Answer

Yep!:) And that is your answer!!:)

anonymous · Answer

Thanks! c:

yanasidlinskiy · Answer

No problem!:) Glad I could help you!:)