Simplify cos^2 0(1+ tan^2 0)

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Step-by-step explanation:

cos²θ (1 + tan²θ)

Use Pythagorean identity:

cos²θ (sec²θ)

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then, the surface area of the sphere shown in the image is: 256π sq. units!

step-by-step explanation:

the lateral surface area of a sphere is 2πrh where h=2r.

then:

surface area = 4πr^2.

in this case, r=8 units ⇒ surface area = 4π(8 units)^2. = 256π sq. units!

then, the surface area of the sphere shown in the image is: 256π sq. units!