Find the surface area of the portion of above the xy plane.

Question

Find the surface area of the portion of  above the xy plane.

Quizplus · Accepted Answer

The equation 11eaa88b_92e0_5fc2_a696_ffafb74507b8_TB5869_11 represents a sphere with radius 5. To find the portion above the xy plane, we need to consider only the upper hemisphere.

The surface area of a sphere is given by 4πr^2. Thus, the surface area of the entire sphere is:
4π(5)^2 = 100π

The surface area of the upper hemisphere is half of the surface area of the entire sphere:
(1/2)(100π) = 50π

Converting to scientific notation and adding the necessary formatting, we get:
11eaa88b_92e0_ade6_a696_6d1f2dc4d808_TB5869_11 (D)

Find the Surface Area of the Portion of Above