PLEASE HELP MEE
The radius of a mini-basketball is 4 inches. A pump can inflate the ball at a rate of 6 cubic inches per second. How long will it take to inflate the ball? Round to the nearest tenth.

  44.7 seconds

Step-by-step explanation:

The volume of a sphere is given by the formula ...

  V = (4/3)πr³

For the given radius, the volume of the ball is ...

  V = (4/3)π(4 in)³ ≈ 268.08 in³

At an inflation rate of 6 in³/s, the time required to deliver that volume is ...

  (268.08 in³)/(6 in³/s) ≈ 44.68 s

It will take 44.7 seconds to inflate the ball.

agree

step-by-step explanation:

step-by-step explanation:

we have

using a graphing tool

see the attached figure

this is a quadratic equation (vertical parabola) open up

the vertex is a > vertex

the domain of the function is all real > interval (-∞,∞)

the range of the function is the > [-6.125,∞)

the function has two x->   and

the function is increasing over the > (0.25,∞)

the function is decreasing over the > (-∞,0.25)