For this cylinder the radius r = 6.8 inches and the height L = 14.2 inches. Which is the BEST estimate for the volume? (Use π = 3.14)

Answers

Answer 1

Answer:

Volume of the sphere will be calculated as 2061.74912 inches cube.

How to calculate volume of the cylinder?

The volume of the cylinder can be estimated by the product of area of the base of the cylinder and height of the cylinder.

V=πr²L

where L is the height of the cylinder and r is radius of the base of the cylinder.

radius r=6.8 inches

the height L=14.2 inches

volume of cylinder

=πr²L

=π(6.8)²14.2

=3.14(6.8)²14.2

=2061.74912 inches cube

Therefore, volume of the sphere will be calculated as 2061.74912 inches cube.

Learn more about the volumeofcylinder

here: brainly.com/question/9554871

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Answer 2

Answer:

Answer:

2062.79 inches cubed

Step-by-step explanation:

Formula- πr2h

= π×6.82×14.2

= 656.608π

= 2062.7948690883 inches cubed

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the probability of a radar station detecting an enemy plane is 62%. if 50 stations are in use what is the probability of exactly 35 stations detecting the enemy plane?

Answers

this is binomial probability with n=50 and p=0.62.

We want binom(50,0.62,35).

One way to calculate this is to use a calculator with statistical functions.

My TI-83 Plus turned out the result 0.061.

A triangular pyramid has the same base and height as a triangular prism. The volume of the pyramid is 26 cubic centimeters. What is the volume of the triangular prism?

Answers

The formula for the volume of a triangular pyramid is:

V=1/3AH (where A=area of the base and H=height)

The formula for the volume of a triangular prism is:

V=AH (where A=area of the base and H=Height)

Since the base and the height are the same in this problem for both the prism and the pyramid, solving for the volume of the prism is simple.

Looking at the formulas, you'll see that the volume of the pyramid (assuming that both the height and the area of the base are the same) is 1/3 the volume of the prism.

V(pyramid)=1/3V(prism)

Now lets input the volume of the pyramid

26cm³=1/3 V(prism)
Divide both sides by 1/3
78cm³=V(prism)

Answer=78cm³

Answer:

140.4 ft

Step-by-step explanation:

Just answered it and got it right

Which are the center and radius of the circle with equation (x + 5)2 + (y - 4)2 = 9?

Answers

Answer:

Center (-5,4) radius 3

Step-by-step explanation:

The standard equation of a circle is

(x-h)^2+(y-k)^2=r^2

where the center is (h,k) and r is the radius

so h=-5 in this case and k is 4

r^2=9 so r=3

In the xy plane, what is the y intercept of the graph of the equation y=2 (x+3)(x+4)?

Answers

The y-intercept is the value of y when the graph intersects the y-axis. Graphs intersect the y-axis when x=0, so we just substitute in x=0 to get:

y=2(0+3)(0+4)

y=2(3)(4)

y=24

Therefore, 24 is our answer.

Hope I helped :)

Sammy drinks 1/3 of the milk carton, Tikki drinks 5/12 of the milk carton, and Georgia drinks 1/6 of the milk carton. What fraction of the carton of milk is left over?

Answers

1/3 of the milk carton+ 5/12 of the milk carton+ 1/6 of the milk carton
= (4+5+2)/12 of the milk carton (common denominator).
= 11/12 of the milk carton.

Sammy, Tikki, and Georgia totally drink 11/12 of the milk carton.

1 milk carton- 11/12 of the milk carton
= 12/12 of the milk carton- 11/12 of the milk carton
= 1/12 of the milk carton.

There is 1/12 of the milk carton left over, so the final answer is 1/12 of the milk carton.

Hope this helps~

First we need to make all the fractions have the same denominator so our denominator is going to be 12 so 1/3=4/12
5/12 we are going to leave it untouched because it already has a denominator of 12 and 1/6=2/12 so
4/12+5/12+2/12=11/12
Now you are going to subtract 12/12-11/12 because 12/12 represents a whole so 12/12-11/12=1/12 so you have 1/12 of the milk left

A rectangular parking lot has a perimeter of 232 feet. The length of the parking lot is 36 feet less than the width. Find the length and the width.