Question

Question 11. A sphere has radius 42 m. If the radius is divided by 6, what is the effect on the surface area?
A. The surface area is multiplied by 36.
B. The surface area is divided by 6.
C. The surface area is divided by 36.
D. The surface area is multiplied by 6.

Answer 1

help me @jdoe0001

Answer 2

hmm one sec

Answer 3

The área is divided by 36 sine the surface área of a sphere is
A=4πr^2 so if r=r/6
4π(r/6)^2
4πr^2/36 that is A/36

Answer 4

yup

Answer 5

\(\textit{surface area of a sphere}=s={\color{blue}{ 4\pi r^2 }}
\\ \quad \\
\textit{now if }r=\frac{r}{6}\quad then\implies s=4\pi \left( \cfrac{r}{6} \right)^2
\\ \quad \\
s=4\pi \left( \cfrac{r^2}{6^2} \right)\implies s=4\pi \cdot \cfrac{r^2}{6^2}\implies s=\cfrac{{\color{blue}{ 4\pi r^2 }}}{36}\)

Answer 6

so i would divide that and i would get my answer

Answer 7

yeap

Answer 8

i got 12.36

Answer 9

makes no sense

Answer 10

well... the question isjust what happens to the surface
so... notice the original, and the r/6 radius

the r/6 radius one, is a fraction of the original

Answer 11

am i suppose to get actually solve it or just find our which number i am suppose to divide with?

Answer 12

well, based on the given choices, you're just supposed to tell, what happens to the surface area, is all

and as you can see, it became 1/36 of the original :)

Answer 13

oh its c

Answer 14

ahemm.... yes

Answer 15

thank you @jdoe0001 the legend

Answer 16

yw

Answer 17

@jdoe0001 forgot to give u a medal