The surface area of a plastic ball is 196 pi. A sponge ball has a radius twice that of the plastic ball. What is the surface are
a of the sponge ball?
A. 9,604 pi
B. 993 pi
C. 784 pi
D. 546 pi
Explain your answer and please show all work.
1 answer:
Answer:
Option C. 
Step-by-step explanation:
we know that
If two figures are similar, then the ratio of its surface areas is equal to the scale factor squared
Let
z-----> the scale factor
x----> surface area of the sponge ball
y----> surface area of a plastic ball

we have


substitute and solve for x


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Hope this helps and have a wonderful day!