Question

A balloon is being expanded such that its diameter d is increasing at a rate given by the function d = 1 + 3t, where d is in centimeters and t is the time in seconds. What is the volume of the balloon in cubic centimeters at time t?
(Volume of a sphere is π6d3.)

Answer 1

π(1 + 3t)2

(π3)(1+3t)2

(π6)(1+3t)3

π(1 + 3t)3

Answer 2

@freckles

Answer 3

@freckles

Answer 4

aintis c?

Answer 5

I think its c

Answer 6

I don't understand there formula for a sphere
but I see it is given as π6d3
whatever that means
Like my volume of a sphere is
\[\frac{4}{3} \pi r^3 \\ \frac{4 }{3} \pi (\frac{d}{2})^3 \\ \frac{4}{3} \pi \frac{d^3}{8} \\ \frac{\pi d^3}{6}\]
and you are also given d=1+3t
so yeah just replace the d above with (1+3t)

Answer 7

so its C right?

Answer 8

It is c