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pav-90 [236]
2 years ago
10

Can you help me with this question

Mathematics
1 answer:
GenaCL600 [577]2 years ago
4 0

Answer:

sorry i cannot do this

Step-by-step explanation:

i am sorry

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Suppose that both the radius r and height h of a circular cone are increasing at a rate of 7 cm/s. How fast is the volume of the
rosijanka [135]

Answer:

The volume of the cone is increasing at the rate oof 3848.45 cm³/s when r=15 cm and h=10 cm.

Step-by-step explanation:

The volume of the cone is given by the following formula:

V = \frac{r^{2}h\pi}{3}

In which V is measured in cm³ while r and h are measured in cm.

Suppose that both the radius r and height h of a circular cone are increasing at a rate of 7 cm/s.

This means that \frac{dh}{dt} = \frac{dr}{dt} = 7

How fast is the volume of the cone increasing when r=15 cm and h=10 cm?

This is \frac{dV}{dt} when r = 15, h = 10.

V = \frac{r^{2}h\pi}{3}

Applying implicit differentiation:

We have three variables, V, r and h. So

\frac{dV}{dt} = \frac{2r\frac{dr}{dt}h \pi + r^{2}\pi \frac{dh}{dt}}{3}

\frac{dV}{dt} = \frac{2*15*7*10\pi + 225*\pi*7}{3}

\frac{dV}{dt} = 3848.45

The volume of the cone is increasing at the rate oof 3848.45 cm³/s when r=15 cm and h=10 cm.

7 0
2 years ago
Need help with #21 please this is Algebra 2
kap26 [50]
You would do the amount x multiplier3
So it would be 5000 x (1.035)cubed
The answer is 5,543.59 I think
4 0
3 years ago
X/2+x/3=3/4<br> Solve for x
hodyreva [135]

Answer:

x= 9/10

Step-by-step explanation:


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3 years ago
List the key parts of this graph and explain what each means in a real world context
Reptile [31]

Which graph? I can not see any graph in there

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2 years ago
rhombus has sides of length 10 cm. and the angle between two adjacent sides is 76 degrees. Find the lengths of the other diagona
lisabon 2012 [21]
Let the length of one of the diagonals be 2x and the other be 2y, then
cos (76/2) = x/10
x = 10 cos 38 = 7.88 cm

sin (76/2) = y/10
y = 10 sin 38 = 6.16 cm
3 0
3 years ago
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