Question

A spherical balloon is inflated so that its volume is increasing at the rate of 3.4 ft^3/min.

How rapidly is the diameter of the balloon increasing when the diameter is 1.7 feet?

Answer #1

1- A spherical balloon is inflated so that its volume is
increasing at the rate of 3.8 ft3/minft3/min. How rapidly is the
diameter of the balloon increasing when the diameter is 1.5 feet?
The diameter is increasing at ft/min.
2- A 16 foot ladder is leaning against a wall. If the top slips
down the wall at a rate of 3 ft/s, how fast will the foot be moving
away from the wall when the top is 12 feet above the...

Air is being pumped into a spherical balloon so that its volume
increases at a rate of 30cm3/s. How fast is the surface area of the
balloon increasing when its radius is 12cm? Recall that a ball of
radius r has volume V=43πr^3 and surface area S=4πR^2

The
volume of a spherical balloon is increasing at a rate of 2 in^3/s.
At what rate is the radius increasing when the volume is 36pi in^3.
show work please! thanks

please don't answer unless you can do all parts, circle answer
and show work please
part 1)
A 13 foot ladder is leaning against a wall. If the top slips
down the wall at a rate of 3 ft/s, how fast will the foot be moving
away from the wall when the top is 9 feet above the ground? The
foot will be moving at ft/s.
part 2)
Oil spilled from a ruptured tanker spreads in a circle whose
area...

please only answer if you can do all parts, I also included my
answer but they are wrong please do not leave the same one
part 4)
A spherical balloon is inflated so that its volume is increasing
at the rate of 3.8 ft3/minft3/min. How rapidly is the diameter of
the balloon increasing when the diameter is 1.8 feet? The diameter
is increasing at 1.8 (My answer but its incorrect) ft/min.
part 5)
A street light is at the top...

An approx. spherical balloon with a diameter of 15 m is inflated
with He at 20°C.
a. What is the mass of He in the balloon, assuming the gas to be
ideal
b. How much work is done by the balloon during the process of
inflation against an external pressure of 1 atm, from an initial
volume of zero to the final volume?

Answer with full solution please
A spherical balloon is being inflated and the radius of the
balloon is increasing at a rate of 4cm/s. a. Express the radius r
of the balloon as a function of the time t (in seconds). b. If V is
the volume of the balloon as a function of the radius, find V ∘ r .
c. Express the function in the form f ∘ g ∘ h H ( x ) = 5 √...

1.) A rock is thrown into a still pond. The circular ripples move
outward from the point of impact of the rock so that the radius of
the circle formed by a ripple increases at a rate of 5
ft./min.
Find the rate at which the area is changing at the instant the
radius is 7 feet.
when the radius is 7 feet, the area is changing at approximately __
Square feet per minute
2.)
The radius of a spherical...

A weather balloon rises through the atmosphere, its volume
expanding from 3.4^3 to 11^3 as the temperature drops from 23 ∘C to
-12 ∘C
If the initial gas pressure inside the balloon is 1.0 atmatm,
what is the final pressure?
Note: the answer is not 0.032/0.32/0.30/0.03.

A man has a bicycle and a balloon. He lets go of the balloon,
and starts to ride his bicycle along a level road. The balloon is
rising at a rate of 4 ft per second, and he his riding his bike at
a rate of 3 ft/ sec. How fast is the distance between the man and
the balloon changing, when the balloon has risen 8 feet, and he had
ridden 6 feet?

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