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Olenka [21]
2 years ago
7

What is the exact volume of the cone? 28π in³ 563π in³ 1963π in³ 196π in³.

Mathematics
1 answer:
Aneli [31]2 years ago
3 0

The exact volume of the considered cone is given by: Option C: \dfrac{196}{3} \pi \: \rm in^3

<h3>How to find volume of a right circular cone?</h3>

Suppose that the radius of the base of the considered right circular cone be 'r' units.

And let its height be 'h' units.

Then, its volume is given as:

V = \dfrac{1}{3}\pi r^2 h \: \rm unit^3

Right circular cone is the cone in which the line joining peak of the cone to the center of the base of the circle is perpendicular to the surface of its base.

The missing figure of the cone is attached below.

  • The height of the considered cone =  4 inches
  • The radius of the base of the cone = 7 inches.

Thus, the volume of the considered cone is given by:

V = \dfrac{1}{3} \times 7 ^2 \times 4 \times \pi = \dfrac{196\pi}{3} \: \rm in^3

Thus, the exact volume of the considered cone is given by: Option C: \dfrac{196}{3} \pi \: \rm in^3

Learn more about volume of the cone here:

brainly.com/question/26093363

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mark earned $8 per hour plus and additional $50 in tips waiting tables on saturday. He earned $165 in all.
fomenos

Answer:

242+165=$407 because $8 per hour = $192 in 24 hours

3 0
3 years ago
Find the directional derivative of the function at the given point in the direction of the vector v. f(x, y, z) = xyz , (3, 3, 9
Anna [14]

The derivative of f(x,y,z) in the direction of a vector \mathbf u is

\nabla_{\mathbf u}f=\nabla f\cdot\dfrac{\mathbf u}{\|\mathbf u\|}

With f(x,y,z)=xyz, we get

\nabla f=(yz,xz,xy)

and \mathbf u=(-1,-2,2),

\|\mathbf u\|=\sqrt{(-1)^2+(-2)^2+2^2}=3

Then

\nabla_{(-1,-2,2)}f(3,3,9)=(27,27,9)\cdot\dfrac{(-1,-2,2)}3=-21

8 0
3 years ago
My brother is in 6th grade and needs help with his math. I tried to help but I can't find any answers on it.
In-s [12.5K]

Answer:

Question 1) 17.4

Question 2) 1.7

Question 3) 2.8

Question 4) 8.6

Step-by-step explanation:

Mean absolute deviation is the average distance between the data points from the set to the mean point of the data set. It shows the variability in data or how much the data points are spread.

method to calculate Mean absolute deviation:

a. calculate mean

b. calculate absolute deviation of each data point

c. add all the deviations

d. divide absolute deviation by number of points

mean absolute deviation = ∑lx_{i}-xl / n

The given problem has four sub-parts

Solution 1:

Mean= (78+99+90+80+55+56+102+88+60+42)/10

            =  750/10

            =  75

Mean absolute deviation= ( I 78-75 I + I 99-75 I+I 90-75 I + I 80-75 I +

                                             I 55-75 I + I 56-75 I + I 102-75 I + I 88- 75 I +

                                             I 60-75 I + I 42-75 I) /10

         =  (174)/10

        =  17.4

Solution 2:

Mean = (10+13+7+12+9+8+12+10+11+13)/10

              =  (105)/10

              = 10.5

Mean absolute deviation = ( I 10-10.5 I + I 13-10.5 I + I 7-10.5 I + I 12-10.5 I +

                                              I 9-10.5 I + I 8-10.5 I + I 12-10.5 I + I 10-10.5 I +

                                               I 11-10.5 I + I 3-10.5 I) /10

       =   17/10

       = 1.7

Solution 3:

Mean= (1+7+10+5+3+3+6+12+9+4)/10

            =  60/10

            =  6

Mean absolute deviation  = ( I 1-6 I + I 7-6 I + I 10-6 I + I 5-6 I + I 3-6 I +

                                               I 3-6 I + I 6-6 I + I 12- 6 I + I 9-6 I + I 4-6 I) /10

         = (28)/10

        =  2.8

Solution 4:

Mean= (30+46+25+45+18+25+15+32+40+24)/10

            =  300/10

            =  30

Mean absolute deviation  = ( I 30-30 I + I 46-30 I + I 25-30 I + I 45-30 I +

                                               I 18-30 I + I 25-30 I + I 15-30 I + I 32-30 I +

                                               I 40-30 I + I 24-30 I) /10

         = (86)/10

        =  8.6

!

8 0
3 years ago
Simplify the following expression.<br> 2x + 3x3 - 5x2 + x2 +7x + 1+ 7x -3x3 - 4
denis-greek [22]

-4x^2+16x-3 is your answer

8 0
3 years ago
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Daniel [21]
11:100
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if iwan gets 11% then iwan gets 89/100
3 0
2 years ago
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