find the volume of a cone with a base radius of 6 cm and a height of 10 cm write in terms of pie

Answers

Answer 1

Answer:

Volume of the cone is 120 π cm³

Step-by-step explanation:

Given that Base radius of cone is 6 cm and height is 10 cm and we need to find volume of the cone. Volume of cone is given by:

[tex] \\ \: \: \dashrightarrow \: \: \: \underline{\boxed{\pmb{\sf{Volume_{(cone)} = \dfrac{1}{3} \pi r^2 h }}}} \\ \\ [/tex]

On Substituting the required values, we get:

[tex] \\ \: \: \dashrightarrow \: \: \sf \: Volume_{(cone)} = \frac{1}{3} \times \pi \times {(6)}^{2} \times 10 \\ \\ \\ \: \: \dashrightarrow \: \: \sf \: Volume_{(cone)} = \frac{1} {\cancel{3}} \times \pi \times \cancel{36} \times 10 \\ \\ \\ \: \: \dashrightarrow \: \: \sf \: Volume_{(cone)} = \pi \times 12 \times 10 \\ \\ \\ \: \: \dashrightarrow \: \: \sf \: \: { \purple{Volume_{(cone)} =120 \pi \: cm^3 }}\\ \\ [/tex]

Volume of a cone is 120 π cm³

Related Questions

PLEASE ANSWER 60 PTS
find all missing angles below.

Answers

Step-by-step explanation:

a=60°{vertically opposite angles}

b=180°-(52+110)°=18°

c=180°-(60+18)°=102°

d=180°-102°=78°

e=180°-(78+51)°=51°

need to paint an entire cylindrical tank (all sides) it is 29ft long and 9ft diameter find the total surface area.

Answers

205 ft because the diameter is right

The table shows the longest known rivers on Earth. How much longer is the Nile than the Amazon?

Answers

Answer:

135 mile difference

Step-by-step explanation:

The nile is 4132 miles long according to Gogle and The amazon is 3997 miles long according to gogle

if 2⁴x ÷2x =64 find the value if x

with steps pls

Answers

Answer:

[tex]2 ^ { 4 } x \div 2x=64\\2^{4}x^{2}=128 \\16x^{2}=128 \\x^{2} = 128 \div 16\\x^{2}=8 \\x = \pm 2\sqrt{2}[/tex]

Answer: no solution or x ∈ Ø

Step-by-step explanation:

(2⁴ × x) ÷ 2x = 64

16x ÷ 2x = 64

[tex]\frac{16x}{2x} = 64[/tex]

8 = 64

8 = 64, x [tex]\neq[/tex] 0

8 = [tex]8^{2}[/tex]

2 = ㏒₈ 8

2 = 1

What is the measurement at plot a?

Answers

Answer:

An Acre is a propduct of any rectangular plot of land giving a total of 4,046sqm OR 43,560sq ft. An Acre consist of 6 plots each measuring 6 x 120ft. In Lagos State, the standard size of a plot is 60 x 120ft (18m x 36m ie 648sqm), while in some other cities of the country, plots are measured in 50 x100ft.

Step-by-step explanation:

Stephen has 42 coins that are all dimes and nickels. The value of the coins is $3.65. How many dimes and how many nickels does Stephen have

Answers

answer is 31 dimes, 11 nickels

see picture attachment for the math

equation is .05N + .10D = 3.65

value of nickels and dimes

using D + N = 42

change to find value of N = 42 - D

plug value of N into the equation and solve

Given: segment AB || segment DE, C is the midpoint of segment DB. Prove LABC = AEDE Fill in the missing statement for the proof.

Answers

Answer: B

Step-by-step explanation:

Trains Two trains, Train A and Train B, weigh a total of 384 tons. Train A is heavier than Train B. The
difference of their weights is 288 tons. What is the weight of each train?
Train A weighs tons.

Answers

i think the answer is 336 bc 384+288=672 then divide

2 is 336,

(so sorry if im wrong)

Johnny has to buy his mother a birthday present. If he spends $90 on 5 necklaces, how much was each necklace?

Answers

Answer:

$450

Step-by-step explanation:

please help before 11 pm
B=?

Answers

Answer:

155.24

Step-by-step explanation:

[tex]\text{Apply sine rule,}\\\\~~~~~~~~\dfrac{a}{\sin A} = \dfrac{b}{\sin B} = \dfrac{c}{\sin C}\\\\\\\implies \dfrac{b }{\sin B} = \dfrac{c}{ \sin C}\\\\\\\implies b = \dfrac{c \cdot \sin B}{\sin C}\\\\\\\implies b = \dfrac{197\sin 52^\circ}{\sin 51^{\circ}}~~~~~~~~~;\left[\angle C = 180^{\circ} - 77^{\circ} -52^{\circ} = 51^{\circ} \right]\\\\\\\implies b \approx 200[/tex]

I need this answer fast please and thank you

Answers

Answer:

1-nonlinear it is not consistant

2- a increasing, b constant, c decreasing

3- 'a' walking away from hole, 'b' rests, 'c' goes back to hole (b could also be gather, as in food)

4- 8cm per second

work 16cm/2sec=8cm/1sec

Step-by-step explanation:

What is the simplified value of the exponential expression 16 superscript one-fourth? 2 4

Answers

For the exponential expression, [tex]16^{1/4}[/tex] the simplified value is 2.

How to simplify the exponential expression?

First, we need to remember a rule for exponential expressions, it says that:

[tex]x^{1/n} = \sqrt[n]{x}[/tex]

Then we can rewrite the given exponential expression as:

[tex]16^{1/4} =\sqrt[4]{16}[/tex]

So, we just need to find a number that when multiplied by itself 4 times, is equal to 16.

We know that:

2*2 = 4

Then:

2*2*2*2 = 2⁴ = 4*4 = 16

Then we can conclude that:

[tex]16^{1/4} =\sqrt[4]{16} = 2[/tex]

So the simplified value of the exponential expression is 2.

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What is the slope of a line parallel to the line whose equation is x + y = -7. Fully
simplify your answer.

Answers

Answer:

slope = - 1

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

given

x + y = - 7 ( subtract x from both sides )

y = - x - 7 ← in slope- intercept form

with slope m = - 1

Parallel lines have equal slopes

then the slope of a line parallel to it is - 1

Mr. Howell teaches four geometry classes.
On the last test he gave, 95% of the
students passed the test, 60% studied for
the test, and 48% both studied and passed
the test. If a student is chosen at random,
what is the probability that they passed the
test, given that they studied?

Answers

Answer:

0.8

Step-by-step explanation:

I'm just writing this

In the following function defined by an equation in the form y = a x squared + b x + c, identify the values of a, b, and c.
y = 5 x squared + 2 x minus 1
a.

a = negative 1, b = 2, c = 5
b.

a = negative 2, b = 5, c = 1
c.

a = 1, b = 5, c = 2
d.

a = 5, b = 2, c = negative 1

Answers

The correct answer is option D which is a = 5, b = 2, c = - 1.

What is a quadratic equation?

It is a polynomial with a degree of 2 or the maximum power of the variable is 2 in quadratic equations. It has two solutions as its maximum power is 2.

Given that:-

y = 5x² + 2x - 1

The general form of the equation is given as:-

Y = ax² + bx + c

We have a quadratic equation:-

y = 5x² + 2x - 1

By comparing the equation with the general form the value of a, b and c is calculated:-

a = 5

b = 2

c = -1

Therefore the correct answer is option D which is a = 5, b = 2, c = - 1.

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Find the volume of a sphere with a surface area of 23041 in2.

Answers

Answer:V≈3.29×105in³

Step-by-step explanation:im smart

Answer: V≈3.29×105in³

A cookie factory uses 7/10 of a barrel of oatmeal in each batch of cookies. The factory used 4 9/10 barrels of oatmeal yesterday. How many batches of cookies did the factory make?

Write your answer as a fraction or as a whole or mixed number.

Answers

Answer: 7 BATCHES

Step-by-step explanation: to produce one batch it takes 7/10 of oatmeal

Now the factory uses 4 9/10 batch of oatmeal

1=7/10 OATMEAL

X=4 9/10 OATMEAL

X=(7/10*1)/4 9/10

=4 9/10*10/7

=490/70

1.1 How much profit did Jamie make if he sold 87 tickets for his treasure hunt? 1.2 Each horse ride lasts 5 minutes with a one minute pause in between for the next rider to get in the saddle. After every hour and a half the horses are given a rest. How many children can get an opportunity to ride a horse before they rest? 1.3 Give the grid reference of the treasure hidden south-east of the ice cream table. 1.4 If you are standing at the cup cakes table, in which direction must you walk to find the swings? 1.5 In which direction is the cold drinks table from the table where Sarah creates her balloon animals? 1.6 The distance on the map between the treasures hidden in block B2 and (3) (3 (2) (2 (4

Answers

Answer:

because the Gravity of the eart.

Step-by-step explanation:

the times is equarl and plus is to mynos sorna iloveyou mwa.

Write the ratio 40.5 to 8.1 as a fraction

Answers

[tex]\cfrac{40.5}{8.1} ~~ \begin{cases} 40.5\implies \frac{405}{10}\\\\ 8.1\implies \frac{81}{10} \end{cases}\implies \cfrac{ ~~ \frac{405}{10} ~~ }{\frac{81}{10}}\implies \cfrac{405}{10}\cdot \cfrac{10}{81}\implies \cfrac{405}{81}\cdot \cfrac{10}{10} \\\\\\ \cfrac{5\cdot 81}{81}\cdot \cfrac{10}{10}\implies \cfrac{5}{1}\cdot \cfrac{81}{81}\cdot \cfrac{10}{10}\implies \cfrac{5}{1}\cdot 1\cdot 1\implies \cfrac{5}{1}[/tex]

Need help on this one please

Answers

Answer:

y = 1/3 x + 4

Step-by-step explanation:

y = 1/3 x + 4

The y intercept is 4 (when x = 0 from the graph) and the slope is rise (1) and run (3).

Please help! 100points! A sequence is defined recursively by the given formulas. Find the first five terms of the sequence.
an = 2(an − 1 + 4) and a1 = 5 (the n and n-1 is suppose to be a subscript, I just can't figure out how to make it like that)

Answers

Answer:

5, 18, 44, 96, 200

Step-by-step explanation:

Given

aₙ = 2(aₙ₋₁ + 4)a₁ = 5

First term : 5

Second term : a₂ = 2(a₁ + 4)

a₂ = 2(5 + 4) = 2(9) = 18

Third term : a₃ = 2(a₂ + 4) = 2(18 + 4) = 2(22) = 44

Fourth term : a₄ = 2(a₃ + 4) = 2(44 + 4) = 2(48) = 96

Fifth term : a₅ = 2(a₄ + 4) = 2(96 + 4) = 2(100) = 200

Hence, the first 5 terms of the sequence are :

5, 18, 44, 96, 200

Answer:

5, 18, 44, 96, 200

Step-by-step explanation:

[tex]\textsf{Given sequence}: \quad a_n=2(a_{n-1}+4)[/tex]

[tex]\textsf{Given first term}: \quad a_1=5[/tex]

[tex]\implies a_1=5[/tex]

[tex]\implies a_2=2(a_{1}+4)=2(5+4)=2(9)=18[/tex]

[tex]\implies a_3=2(a_{2}+4)=2(18+4)=2(22)=44[/tex]

[tex]\implies a_4=2(a_{3}+4)=2(44+4)=2(48)=96[/tex]

[tex]\implies a_5=2(a_{4}+4)=2(96+4)=2(100)=200[/tex]

A jar contains only dimes and nickels. The total number of coins in the jar is
15
. The total value of the coins is
$
1.00
. How many of each type of coin are in the jar?

Answers

Answer:

5 dimes and 10 nickels

Step-by-step explanation:

0.1d + 0.05n = 1

d + n = 15

d + 0.5n = 10

d + n = 15

0.5n = 5

n = 10

d + n = 15

d + 10 = 15

d = 5

Answer: 5 dimes and 10 nickels

after a 15% discount an item cost22.27 what was the origanl price

Answers

Answer:

26.2

X = 22.27/(1 - 0.15)

X = 22.27/0.85

X = 26.2

What percent of 6 is 9?

Answers

Answer:

150%

Step-by-step explanation:

half of 6 is three, and 9 has a value of 3 more than 6. meaning that 9/6 = 150%

Answer: [tex]150[/tex]% [tex]([/tex][tex]0.54[/tex][tex])[/tex]

Step-by-step explanation:

For fraction: divide 6 by 100 and remove the % sign.

{[tex]6[/tex]}% [tex]=\frac{6}{100}[/tex]

For decimal: move the decimal point 2 places to the left and remove the % sign.

{[tex]6[/tex]}% [tex]=0.06[/tex]

[tex]100[/tex]% [tex]=9[/tex]

[tex]\frac{6}{100}[/tex] × [tex]9=0.06[/tex] × [tex]9=0.54[/tex]

[tex]6[/tex]% [tex]of~9~is~0.54[/tex]

Which of the following are solutions to the equation cos^2 2x-1/4=0? Check all that apply.
A. 11pi/3
B. 12pi/6
C. 5pi/6
D. Pi/6

Answers

Answer:

Step-by-step explanation:

Cos^2 2x=1/4

Cos 2x =+-1/2

2x=z

Cos z=+-1/2

z1=pi/3

z2=11pi/3

z1 and z2 are possible.

x1=pi/6

x2=11pi/6

The diagram below shows an angle, 0, graphed in the xy-coordinate plane. The segment RT is the initial side of the
angle, and segment RM is the terminal side. Segments RT and RM are radii of the unit circle centered at the origin
R(0,0).
T
R
M
The x-coordinate of point M is. What is the coordinating sine value for this angle of rotation?
SET

Answers

The coordinating sine value for this angle of rotation will be 4.189.

How to calculate the angle?

From the complete information, in the unit circle, there's a point with -1/2 and the x value is 240°.

In this case, the coordinating sine value for this angle of rotation will be:

= (240 × π)/180

= (240 × 3.142) / 180

= 4.189

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If the number of bacteria in a colony doubles every 475 hours and there is currently a population of 65 bacteria, what will the population be 950 hours from now???

Answers

The population (number of bacteria in the colony), 950 hours from that time, will be 260 bacteria

Determining the population of bacteria

From the question, we are to determine what the population will be after 950 hours

From the given information,

The number of bacteria in a colony doubles every 475 hours

The current population is 65 bacteria

∴ After 475 hours, the new population will be 2 × 65 bacteria

New population after 475 hours = 130 bacteria

After another 475 hours (that is, 950 hours from the initial time),

The population will be 2 × 130 bacteria = 260 bacteria

Hence, the population, 950 hours from that time, will be 260 bacteria

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Write a rule for the input/output table

Answers

The table is a linear function, and the rule for the input/output table is f(x) = 1 + 3x

How to determine the rule?

From the table, we can see that:

The output of the table is 1 more than 3 times the input

If the input is x, then the output y is:

y = 1 +3 * x

Evaluate

y = 1 + 3x

Hence, the rule for the input/output table is f(x) = 1 + 3x

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2x-17=51+61
Super easy!