26 The area of spot decreased exponentially At midnight the area of spot was 1 square centimeter and 2 hour later the 2 volume of balloon was 300 cm3. What time was it when the volume of the balbon nas 400 cm3
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0
Explanation:
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Answered by
0
Answer:
Step-by-step explanation:
Let the radius of sphere be r
So, Surface area of sphere = 4 \pi r^24πr
2
Volume of sphere =\frac{4}{3} \pi r^3
3
4
πr
3
We are given that the number of square centimeters in the surface area of a sphere is equal to the number of cubic cm in its volume.
So, 4 \pi r^2=\frac{4}{3} \pi r^34πr
2
=
3
4
πr
3
r^2=\frac{1}{3} r^3r
2
=
3
1
r
3
3=r
So, Radius of sphere = 3 cm
Diameter of sphere = 2r =2(3)=6 cm
Hence the diameter of the sphere is 6 cm
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