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Ierofanga [76]
2 years ago
11

IMAGE BELOW I WILL MARK BRAINIEST

Mathematics
1 answer:
suter [353]2 years ago
3 0

Answer:

-3, 2

Step-by-step explanation:

Please give me brainlist

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A spherical balloon is inflated so that its volume is increasing at the rate of 3 ft3/min. How fast is the diameter of the ballo
beks73 [17]

When an spherical balloon volume is increasing at the rate of 3ft^3/min then the diameter of the balloon is increasing \frac{3}{2\pi }ft /min

How can we find the rate of change of balloon's diameter ?

The volume of a spherical balloon is v=\frac{4}{3} \pi r^3

In form of diameter we can write as

v=\frac{4}{3} \pi (\frac{D}{2} )^3\\=\frac{1}{6} \pi D^3

Now we will differentiate both sides wrt to t we get

\frac{dv}{dt} =\frac{1}{6} \pi 3D^2 \frac{dD}{dt} \\\frac{dD}{dt} =\frac{2}{\pi D^2} \frac{dv}{dt} \\\\when r=1\\D=2ft

Given in the question \frac{dv}{dt} =3ft^3/min

thus when we substitute the values we get

\frac{dD}{dt} =\frac{2}{\pi *2^2} (3)\\\frac{dD}{dt}=\frac{3}{2\pi }  ft/min

Learn more about the differentiation here:

brainly.com/question/28046488

#SPJ4

3 0
2 years ago
What is the approximate diameter of a sphere with a volume of 268cm3
kogti [31]

Answer:

diameter ≈15.6

Step-by-step explanation:

To solve this;

volume of a sphere = 4/3 πr³

From the question given;

volume of the sphere = 268    

lets substitute   and solve for r

volume of sphere = 4/3 πr³

268 = 4/3 × 3.14 × r³

268 =4.19 × r³

Divide both-side of the equation by 4.19

268/4.19 = r³

63.96 = r³

Take the cube root of both-side

∛63.96 = r

7.8 ≈ r

but diameter = 2r = 2×7.8 =15.6

8 0
3 years ago
Perimeter = 16x + 8<br> The length of the indicated side is
Dahasolnce [82]

Answer:

d

Step-by-step explanation:

Because you need to substitute the variable first, multiply that and add 8.

6 0
3 years ago
How do I do surface area
jeka57 [31]

Answer:

calculate the area of all sides then add them together

7 0
3 years ago
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It takes a barber 12 minutes to shave a face and 30 minutes to give a haircut. The barber works for 6 hours straight and spends
Mrrafil [7]

Answer:

7 customers

Step-by-step explanation:

7 0
3 years ago
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