Answered

A sphere has a radius of 2x + 5. Which polynomial in standard form best describes the total surface area of a sphere?


Use the formula S=4pi^2 for the surface area of a sphere

Verified Answer :

apologiabiology

SA=4pir^2
SA=4pi(2x+5)^2
SA=4pi(4x^2+10x+10x+25)
SA=4pi(4x^2+20x+25)
SA=(16x^2+80x+100)pi
SA=16pix^2+80pix+100pi

rohiraakshay4

The correct answer to the this problem that is the total surface area of a sphere is

\(16x^2\pi+80x\pi+100\pi\)

The correct answer is (C).

Total surface area of sphere:

The total surface area to the r radius sphere can be calculated as

TSA = 4π\(r^2\)

How to find total surface area of the sphere?

Here we have given that the radius = r = 2x + 5

Therefore the

TSA = 4π (2x +5)^2

TSA = 4π (4x^2+25+20x)

TSA = \(16x^2\pi+80x\pi+100\pi\)

The final answer is option (C).

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