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disa [49]
2 years ago
12

The diameter of a spherical balloon that is being filled with air is increasing at the rate of 3 inches more than the time, t. W

hat will the volume, V, of the balloon be at t = 3 seconds?
Mathematics
1 answer:
Harrizon [31]2 years ago
5 0

Answer:

V=36 \pi cubic inches

Step-by-step explanation:

Diameter is increasing at 3 inches more than time, When t = 3

Diameter (d) = 3+3 = 6

d = 6

Radius is HALF of diameter, so

r = 6/2 = 3

Now, the volume of a sphere is given by the formula:

V=\frac{4}{3}\pi r^3

Putting r = 3, we get:

V=\frac{4}{3}\pi r^3\\V=\frac{4}{3}\pi (3)^3\\V=36 \pi

The volume would be 36π

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