Question

the surface area of a sphere is represented by the expression (4pi r^{2}), where (r) is the radius of the sphere. what is the surface area of a sphere with a radius of 15 cm? use 3.14 as an approximation for (pi). a. (376.8 cm^{2}) b. (706.5 cm^{2}) c. (2,826 cm^{2}) d. (11,304 cm^{2}) e. (35,494.56 cm^{2})

Explanation:

Step1: Recall the surface - area formula

The surface - area formula of a sphere is $S = 4\pi r^{2}$.

Step2: Substitute the given radius

Given $r = 15$ cm and $\pi=3.14$. Substitute these values into the formula: $S=4\times3.14\times15^{2}$.

Step3: Calculate $15^{2}$

$15^{2}=15\times15 = 225$.

Step4: Calculate $4\times3.14\times225$

$4\times3.14 = 12.56$, then $12.56\times225=2826$ $cm^{2}$.

Answer:

C. $2,826$ $cm^{2}$