Question

4 days ago, Emily blew up a balloon (that is a perfect sphere) to a radius of 5 cm5\text{ cm}5 cm. Since then, the balloon has lost air and decreased by 0.5 cm0.5\text{ cm}0.5 cm each day.

What is the ratio of the current volume of the balloon to the volume of the balloon 444 days ago?

A) 27/25
B )9/25
C) 1/3
D) 3/5

PLEASE HELPP !!!!!!!!!!!!!

Answer 1

Answer:

$\text{Ratio = }\frac{27}{125}$

Step-by-step explanation:

Radius of the spherical balloon 4 days ago = 5 cm

$\text{Volume of sphere = }\frac{4}{3}\pi\times radius^3\\\\\text{Volume of spherical balloon 4 days ago = }\frac{4}{3}\pi\times 5^3$

Now, the radius of balloon decreases 0.5 cm each day

So, after 4 days the radius of balloon deceases by = 4 × 0.5

                                                                                     = 2 cm

So, current radius of spherical balloon = 5 -2 = 3 cm

$\text{Current Volume of spherical balloon = }\frac{4}{3}\pi\times 3^3$

$\implies\text{Ratio of current volume to volume before 4 days = }\frac{\frac{4}{3}\pi\times 3^3}{\frac{4}{3}\pi\times 5^3}\\\\\implies Ratio = \frac{3^3}{5^3}\\\\\implies Ratio=\frac{27}{125}$

Answer 2

Answer:

the correct answer is 27/125 (A)

Step-by-step explanation:

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