Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

find the surface area of this sphere. sphere formulas $sa = 4\\pi r^{2}…

Question

find the surface area of this sphere. sphere formulas $sa = 4\pi r^{2}$ $v = \frac{4}{3}\pi r^{3}$ $sa = ?\pi cm^{2}$

Explanation:

Step1: Substitute the radius into the formula

Given the formula for the surface area of a sphere \(SA = 4\pi r^{2}\), and \(r = 5\) cm.
Substitute \(r = 5\) into the formula: \(SA=4\pi\times(5)^{2}\).

Step2: Calculate the value

First, calculate \(5^{2}=25\). Then, \(4\times25 = 100\). So, \(SA = 100\pi\) \(cm^{2}\).

Answer:

\(100\pi\) \(cm^{2}\)