Find volumeof right circular cone having base radius 14cm and slant height 14.8cm.​

Answers

Answer 1

Answer:

The cone has a volume of approximately 982.5 cubic centimetres.

* That answer sounds off to me, but I'm not sure.  You might want to run through the logic yourself and see if you get the same results.

Step-by-step explanation:

The volume of a cone is one third that of a cylinder with the same height and base radius. In other words:

[tex]v = \pi r^{2} \frac{h}{3}[/tex]

But before using that, we need to know the value of h, height.  What we are instead given is the slant height, or the length from tip to edge.

We can use that slant height along with the base radius to get the cone height, as the three of them are the edges of a right triangle, with slant height being the hypotenuse.

To get the height then we can say

[tex]h = \sqrt{s^{2} - r^{2}}[/tex]

Where h is height, s is slant, and r is radius.

[tex]h = \sqrt{14.8^{2} - 14^{2} }[/tex]

[tex]h = \sqrt{219.04 - 196}[/tex]

[tex]h = \sqrt{23.04}[/tex]

[tex]h = 4.8[/tex]

A very squat cone indeed.

Now we can plug that and the radius into the actual cone equation:

[tex]v = \pi (14cm)^{2} \frac{4.8cm}{3}\\= \pi 196cm^2 * 1.6cm\\\approx 985.2 cm^3[/tex]


Related Questions

If you take a number, times by 3 then subtract 6. You get the same as if you took the number, times by 7 then subtract 2. What is the number?

Answers

Answer: -2

Step-by-step explanation:

The number i pick is 2 so...

2(3)=6

6-6=0

0x7=0

0-2=-2

The number I got was -2

(15 points) plz ay help would be appreciated and brainly will be given to best answer/for e-f find the value of x,y.z in each figure

Answers

Answer:

For E, each angle is 60° because its an equilateral triangle.

F is 45° for x, 135° for y, lastly z is 22.5°

Explain how to determine if you have a direct variation or proportional relationship
given a graph

Answers

Answer:

straight line that passes through the origin

Step-by-step explanation:

Two variables are said to have a direct variation or proportional relationship if it can be represented by y = kx, where k is a constant.

Comparing this with the equation of a straight line y = mx + b, where m is the slope of the line and b is the y intercept (value of y when x = 0), We can tell if the say that the graph of a direct variation or proportional relationship is a straight line with no y intercept (b = 0, that is it passes through the origin).

what did he do wrong

Answers

Answer:

He did not multiply 3 by the fraction 5/3.

Step-by-step explanation:

8/3=3c + 18/3

Find the area of a square with a side measurement of 3 1/2 inches.

Answers

Answer:

A=9

Step-by-step explanation:

I will give a brainlist if you help me with this! :))

Answers

Answer:

The length of  [tex]\overline{AD}[/tex] is 20 inches

Step-by-step explanation:

The given parameters are;

Triangle ABC is similar to triangle DEC, therefore, we can write, ΔABC~ΔDEC

[tex]\overline{AC}[/tex] = 30 inches

[tex]\overline{BA}[/tex] = 18 inches

[tex]\overline{ED}[/tex] = 6 inches

By similar triangles formula, we have;

[tex]\overline{BA}[/tex]/[tex]\overline{ED}[/tex] = [tex]\overline{AC}[/tex]/[tex]\overline{DC}[/tex]

Substituting the known values gives;

18/6 = 30/[tex]\overline{DC}[/tex]

Therefore, [tex]\overline{DC}[/tex] = 30/(18/6) = 30/18 × 6 = 10

[tex]\overline{DC}[/tex] = 10

[tex]\overline{AD}[/tex] = [tex]\overline{AC}[/tex] - [tex]\overline{DC}[/tex] = 30 - 10 = 20

[tex]\overline{AD}[/tex] = 20 inches.

The graph of a line has slope 3/2 and passes through the point (-2, 4). Which point is on this line?
(0, 7)
(1, 6)
(2, 11)
(4, 1)

Answers

Answer:

(2, 11)

Step-by-step explanation:

Answer:

(1, 6)

Step-by-step explanation:

Pls be right will give brainliest

Answers

The answer is D man :)

which coordinates of jefferson high school's baseball field


(-3,7)
(7,-3
( -7,3)
(-3,-7)

Answers

Download Qanda and ask the teachers this it actually helps!!

Can someone help me pls

Answers

Answer: 39.4784

Step-by-step explanation:

The equation for area of a circle is (3.14)r^2.

Just plug in the given radius (4) into the equation and solve.

A concession stand sells bags of popcorn for $3 and cotton candy for $2. A customer purchased
bags of popcorn as well as cotton candy and spent $12.

Answers

2 bags of popcorn which brings you up to 6$, and an even number, than film the rest of the cash value with cotton candy (3 bags 6$)

So final answer
2 bags of popcorn, and 3 bags of cotton candy

Hope this helps:)
Answer : Two Bags of popcorn and three bags of cotton candy


Explanation: We can do this mentally by multiplying 2*3 and 3*2 which they both equal 6 then we add them to equal 12 have a nice day (:

Solve by factoring.
X2-9x-52=0

Answers

Answer:

Step-by-step explanation:

x^2-9x-52=0  What 2 numbers when multiplied equal -52 and added equals -9? -13 and 4

(x-13)(+4)

3 4/5 - 2 1/3 and if needed simplify

Answers

1 7/15 hopes this works

Answer:

1 7/15 or 22/15

Step-by-step explanation:

How many fluid ounces are in a gallon?
1 cup= 8 ounces
1 pint= 2 cups
1 quart=2pints
1 gallon= 4 quarts

Answers

Answer:

128 fluid ounces

Step-by-step explanation:

As per linear equation, there are 128 ounces of fluid in a gallon.

What is a linear equation?

"A linear equation is an equation in which the highest power of the variable is always 1. It is also known as a one-degree equation.

The standard form of a linear equation in one variable is of the form Ax + B = 0. Here, x is a variable, A is a coefficient and B is constant. The standard form of a linear equation in two variables is of the form Ax + By = C. Here, x and y are variables, A and B are coefficients and C is a constant."

Given relations for any fluid is:

1 cup = 8 ounces

1 pint = 2 cups

1 quart = 2pints

1 gallon = 4 quarts

Therefore,

1 gallon

=  4 quarts

= 4 (2) pints

= 8 pints

= 8(2) cups

= 16 cups

= 16(8) ounces

= 128 ounces

Therefore, for any particular fluid 128 ounces equal to 1 gallon.

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Evaluate each expression
|30-5|-|-7|

Answers

Answer:

18

Step-by-step explanation:

|30 - 5| - |-7| = 18

:)()()()()()()()()()())(()()()()()()()()()helppp

Answers

Answer:

13

hope this helps you

Help please??????????

Answers

yx^12

Step-by-step explanation:

technically it's yx with an exponent that's 12

Two functions are shown below.
f(x) = 3x + 7
g(x) = 2x + 12
What is the value of x where the graphs of f(x) and g(x) intersect?

Answers

Answer:

x=5

Step-by-step explanation:

Ok so put them equal to each other

2x+12=3x+7

subtract 12 from both sides

2x=3x-5

subtract 3x from both sides

-x=-5

divide both sides by -1

x=5

Have a wonderful day/night

Brainliest please.

I think the Answer x=5

There are 56 students in a school play. The ratio of boys to girls is 3:5. How many girls are in the school play?

Answers

Answer:

35 girls

Step-by-step explanation:

First add the ratios together ( 3+5) this will give you 8. Then divide the total number of students by 8, this will get you 7. Now multiply 7 to 3 and multiply 7 to 5. As the ratio of boy to girl is 3 to 5, to find how many girls are in the school play we multiply 7 to 5. This makes 35 girls.

If you want to check, 7 x 3 =21 boys and 7 x 5=35 girls. 35 +21= 56 (the total number of students).

Seven out of every twenty soda bottles produced have caps indicating that the purchaser has won a prize. Which equation represents the relationship between the number of soda bottles with winning caps and the total number of soda bottles produced? (Let w represent the number of bottles with winning caps, and let t represent the total number of bottles produced.) 1t OA. W= 20 7 -t B. W= 13 C. Zw = 20$ OD. Zw = 13t​

Answers

Answer:

ihni

Step-by-step explanation:

35

struggling on getting my brain to understand how this works I HATE MATH

Answers

Hi you actually didn’t attach anything for us to help you with

Need help with this one
Please and thank you

Answers

Answer: -2 is a no. -9 is a yes. 2 is a no. -8 is a no.

Step-by-step explanation:

-9 yes and no to the rest


Find the coordinates of the reflection: B (4,5) is reflected over the line y=x

Answers

Answer:

d

Step-by-step explanation:

just try to form the graph it really helps visualising it and finding the reflection i hope this helped

Its C (-4,-5) it reflects over y=x

When are two distinct lines parallel?

Answers

Answer:

if the line keeps going and theynever touch

Step-by-step explanation:

Answer:

Two lines are parallel when are side by side and if the lines kept on going, they would never collide with each other

Step-by-step explanation:

The math teacher gives each student a map of the amusement park that uses a coordinate plane. The meeting location is at (0, 0) on the map. Each unit is 100 feet. The first ride that you want to try is located at the coordinates (0, 4). The next ride is located at (3, 0). If you walked in a straight line from the first ride to the second ride, how many feet would you travel?

Answers

Answer:

500 ft

Step-by-step explanation:

use this formula

The actual distance between first and second ride is 500 ft.

What is Distance Formula?

The distance between two point P(a, b) and Q(c, d).

so, the distance PQ = √(c-a)² + (d- b)²

Given:

Starting point = (0,0)

First ride = (0,4)

Second ride = (3,0)

In map, each unit = 100 ft

Using the distance formula

d =  √( 3-0)² + (0-4)²

d = √9+ 16

d= √25

d = 5 units

So, the distance between first ride and second ride in the map is 5 units.

and,1 units  = 100 ft

5 units = 500 ft

Hence, the actual distance between first and second ride is 500 ft.

Learn more about distance formula here:

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help me solve -2/7x -5=-13 and please add how to do it​

Answers

Answer:

Step-by-step explanation:

-2/7x -5 =13

-2/7x = 13 + 5 = 18

x = 18 (-2/7)

x =  -5.14

Answer:

Step-by-step explanation:

Solve using substitution and show your work:
-3x-3y=3
y=-5x-17

Answers

Answer:

Step-by-step explanation:

Isolate any variable, x or y, but since y has already been isolated, use y to solve for x.

Substitute y into the first equation -3x-3y=3

This equals -3x - 3 (-5x - 17) = 3

Distribute to get -3x + 15x + 51  = 3

Then bring like terms together. -3x + 15x = 3 - 51

12x = -48

Solve for x

x = -4

Substitute -4 for x in the equation: y = -5x - 17

y = − 5x − 17

y = (−5) (−4) − 17

y = 20 - 17

y = 3 ( Simplify both sides of the equation)

Answer:

x = − 4 and y = 3

what is measuring mass​

Answers

Answer:

Mass is used to measure the weight of an object. For example, you are measuring the mass of your body when you step on to a scale. In the metric system of measurement, the most common units of mass are the gram and kilogram.

Perpendicular Lines
Instructions: Given the following image is a cube, name a segment that is
perpendicular to AH?

Answers

Answer:

HG

Step-by-step explanation:

Where they meet another line at a 90 degree angle.

The segment that is perpendicular to segment AH in the given cube is: HG.

What are Perpendicular Segments?

When two segments form a right angle at the point of their interception, they are said to be perpendicular to each other.

In the image given, a right angle is formed where segments AH and HG meet. Therefore, a name of a segment that is perpendicular to AH is: segment HG.

Learn more about perpendicular segments on:

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ISSS THISSSSS CORRECTTT??????please help

Answers

Answer:

I think that is correct, sorry is i get it wrong

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