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Troyanec [42]
3 years ago
14

A cone has a volume of 1808.64 cubic inches and a height of 12 inches. What is its radius?

Mathematics
1 answer:
Tomtit [17]3 years ago
3 0

Answer: the radius is 11.997

Step-by-step explanation:

use the formula v= 1/3 *g*h

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What is 91,284 rounded to the nearest hundred thousand
otez555 [7]
If this is asking for the nearest hundred thousand, and not ten thousand, than you would round up to 100,000. 91,284 is close to 100,000.
5 0
3 years ago
Find the max and min values of f(x,y,z)=x+y-z on the sphere x^2+y^2+z^2=81
Anton [14]
Using Lagrange multipliers, we have the Lagrangian

L(x,y,z,\lambda)=x+y-z+\lambda(x^2+y^2+z^2-81)

with partial derivatives (set equal to 0)

L_x=1+2\lambda x=0\implies x=-\dfrac1{2\lambda}
L_y=1+2\lambda y=0\implies y=-\dfrac1{2\lambda}
L_z=-1+2\lambda z=0\implies z=\dfrac1{2\lambda}
L_\lambda=x^2+y^2+z^2-81=0\implies x^2+y^2+z^2=81

Substituting the first three equations into the fourth allows us to solve for \lambda:

x^2+y^2+z^2=\dfrac1{4\lambda^2}+\dfrac1{4\lambda^2}+\dfrac1{4\lambda^2}=81\implies\lambda=\pm\dfrac1{6\sqrt3}

For each possible value of \lambda, we get two corresponding critical points at (\mp3\sqrt3,\mp3\sqrt3,\pm3\sqrt3).

At these points, respectively, we get a maximum value of f(3\sqrt3,3\sqrt3,-3\sqrt3)=9\sqrt3 and a minimum value of f(-3\sqrt3,-3\sqrt3,3\sqrt3)=-9\sqrt3.
5 0
3 years ago
How much grain can this container hold?
ludmilkaskok [199]

Answer:

953.78 in^3 of grain.

Step-by-step explanation:

The volume of a cylinder = π r^2 h.

For this cylinder r =  radius of the base = 9/2

= 4.5 in  and the height h = 15 in

So the volume is 3.14 * 4.5^2 * 15

= 953.78 in^3.

8 0
3 years ago
Read 2 more answers
Please help!
aleksklad [387]

Answer:

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Step-by-step explanation:

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60 pounds for each passenger

total pounds plane can carry=passengers × pounds

= 396×60

= 23760 pounds

....

3 0
2 years ago
The sum of three consecutive multiples of 7 is 168 find the numbers
andrey2020 [161]

the three numbers are 49,56 and 63.

3 0
3 years ago
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