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stepan [7]
3 years ago
12

A cone has a radius of 5 inches and a height of 18 inches. What is the exact volume of the cone? A. 150π in3 B. 300π in3 C. 450π

in3 D. 540π in3
Mathematics
2 answers:
balandron [24]3 years ago
6 0
Volume = 1/3 × pi × r^2 × h
= 1/3 × pi × 5^2 × 18
= 150pi

the answer is A

i am a mathematics teacher. if anything to ask please pm me
pav-90 [236]3 years ago
6 0

Answer:

A.150π

Step-by-step explanation:

To find the solution to this problem, we will follow the steps below:

First write down the formula for calculating the value of a cone

Volume of a cone = πr²h/3

where r is the radius of the cone and h is the height of the cone.

From the question given, radius= 5 inches   and height=18 inches

We can now proceed to substitute our values into the equation;

Volume of a cone = πr²h/3

                               = π5²18/3

                                = π×25×6

                                =150 π

Therefore, the volume of the cone is 150π

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What is the solution to the equation 2 ( 5 + 2 x ) = − 4 + 6 x ? x = 3 2 x = 3 2 x = 7 6 x = 7 6 x = 2 x = 2 x = 7 x = 7
soldi70 [24.7K]

Answer:

7=x

Step-by-step explanation:

multiply 5 and 2x by 2, you'll then have (10+4x)=-4+6x. Then add 4 to both sides and you have (14+4x)=6x. Subtract 4x from both sides and that'll get you 14=2x and you divide 2 from each side to get x by itself so 7 is your answer.

5 0
3 years ago
3x-6y=15<br> -3x-9y=-30<br><br> Please help!! Its due in 30 minutes!!
olchik [2.2K]

Step-by-step explanation:

Refer to the attachment.

I hope it helps:)

3 0
3 years ago
aflati masurile a doua unghiuri complementare stiind ca masura unuia dintre ele este cu 18° mai mica decat triplul masurii celui
Ahat [919]

Answer:

The angle is "27 and 63".

Step-by-step explanation:

Let A and B are two angles, in which  A is " \frac{1}{2} " complementary angles  and B be is another complementary angle.

Condition of complementary angle :

A+B =90 ......(i)

Solution:

\ A = \ 3B - 18 \\\\ \ put \ the \ value \ of \ A \ in \ equation.....(i) \\\\  \ Equation:  \\ \\\Rightarrow  \ A\ +\ B \ =\ 90 \\\\\Rightarrow \ 3B\ -\  18 \ + \ B \ = \ 90 \\\\\Rightarrow \ 4B \ = \ 90 +18 \\\\\Rightarrow \ 4B = 108 \\\\ \Rightarrow  B = \frac{108}{4} \\\\ \Rightarrow   B \ = \ 27\\

\ put \ the \ value \ of \ B \ in \ equation (i).\\\\ \ Equation: \\\\\Rightarrow A+B=90\\\\\Rightarrow A+27=90\\\\\Rightarrow A=90-27\\\\\Rightarrow A= 63

7 0
3 years ago
At the movie theater the prince on 1 adult ticket and 4 child tickets is $44 the price of 5 adults tickets and 2 child tickets i
nydimaria [60]

The cost of one adult ticket is $12 and cost of one child ticket is $8.

Step-by-step explanation:

Let,

Cost of one adult ticket = x

Cost of one child ticket = y

According to given statement;

x+4y=44    Eqn 1

5x+2y=76   Eqn 2

Multiplying Eqn 1 by 5

5(x+4y=44)\\5x+20y=220\ \ \ Eqn\ 3

Subtracting Eqn 2 from Eqn 3

(5x+20y)-(5x+2y)=220-76\\5x+20y-5x-2y=144\\18y=144

Dividing both sides by 18

\frac{18y}{18}=\frac{144}{18}\\y=8

Putting y=8 in Eqn 1

x+4(8)=44\\x+32=44\\x=44-32\\x=12

The cost of one adult ticket is $12 and cost of one child ticket is $8.

Keywords: linear equation, elimination method

Learn more about elimination method at:

  • brainly.com/question/1357167
  • brainly.com/question/1386181

#LearnwithBrainly

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