The helght of the pyramid in the diagram Is three times the radius of the cone. The base area of the pyramid is the same as the base area of the
cone. What is the expression for the volume of the pyramid in terms of the radius rof the cone?
Answers
Answer:
A is the answer and if not i'm really srry.
Step-by-step explanation:
The expression for the volume of the pyramid in terms of the radius of the cone is V = πr³
What is a Cone?A cone is a three-dimensional shape in geometry that narrows smoothly from a flat base (usually circular base) to a point(which forms an axis to the center of base) called the apex or vertex.
The volume of a cone is given by the equation
Volume of Cone = ( 1/3 ) πr²h
where r is the radius of the cone
h is the height of the cone
Surface area of the cone = πr ( l + r )
where l = √ ( b² + r² )
Given data ,
Let the radius of the cone be r
Now , the base area of the cone is = B
And , base area of the pyramid is the same as the base area of the
cone
So , the volume of the cone = ( 1/3 ) πr²h
Base area of cone = πr²
And , base area of pyramid B' = a² ( a = side of pyramid )
On simplifying , we get
πr² = a²
And , height of pyramid = 3 x ( radius of the cone )
So , volume of pyramid = ( 1/3 )a²H'
H' = 3r
Now , the volume of pyramid V = ( 1/3 ) ( πr² ) ( 3r )
The volume of pyramid V = πr³
Hence , volume of pyramid V = πr³
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Related Questions
Geometry
Find the degree for each angle in the triangle
Answers
Answer:
acute
Step-by-step explanation:
Math;
Evaluate the expression
(120 divided by 20)divided by (2x3)
My question is how do I get the answer?
Answers
Answer: 1
Step-by-step explanation:
We are given:
(120/20) / (2 * 3)
Simplify the numerator first:
120/20 = 6
Simplify the denominator:
2 * 3 = 6
Put them together and simplify one final time:
6/6 = 1
The expression (120 divided by 20) divided by (2 times 3) evaluates to 1.
Here, we have,
given
the expression (120 divided by 20)divided by (2x3)
To evaluate the expression:
(120 divided by 20) divided by (2 times 3)
First, we can simplify within the parentheses:
120 divided by 20 = 6
2 times 3 = 6
Now we have:
6 divided by 6
Since both the numerator and denominator are the same, the result is 1:
6 divided by 6 = 1
Therefore, the expression (120 divided by 20) divided by (2 times 3) evaluates to 1.
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Write down the first five terms of the sequence which has the n th term
Answers
Answer:
2
A) 12
B) 18
C) 20
D) 11
E) 25
F) 33
Step-by-step explanation:
because the next of the 10 is 12
If f(3) = 12, which of the following could be a solution for the equation f(x).
Answers
Answer
f(x) = 3x+3
Explanation
So basically your replacing x with 3 to see which one would turn out to be 12.
3(3) = 9
2(3)+12 = 18
3(3)+3 = 12
(3)+10 = 13
Only the third one becomes 12 when you replace x with 3, so the answer is number 3.
The function of which f(3) = 12 is the solution is f(x) = 3x + 3 thus option (C) will be correct.
What is a function?The function is a relationship between variables, and the nature of the relationship defines the function for example y = six and y = x +6 like that.
Given the solution of an unknown function,
f(3) = 12
If it is the solution then it must satisfy the respective function.
By cross-checking options ;
Option (A) →
f(3) = 3×3 = 9 so it will not the function.
Option (B) →
f(3) = 2(3) + 12 = 18 so it will not the function.
Option (C) →
f(3) = 3(3) + 3 = 12 so it will be the respective function.
Hence "The function of which f(3) = 12 is the solution is f(x) = 3x + 3".
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X + 4=-7 what is x. pls show work
Answers
Answer:
x = -11
Step-by-step explanation:
[tex]x + 4 = -7[/tex]
subtract 4 from both sides of the equation
[tex]x = -11[/tex]
Answer:
X= -11
Step-by-step explanation:
X+4-4 = -7-4
Then simplify.
what is 52cm as a fraction of 90cm? (as a simplified fraction)
and what is 30L as a fraction of 110L? (as a simplified fraction)
!plis help me quick bc i got 20 minutes left to hand it in to my teacher!
Answers
Answer:
[tex]\frac{26}{45}[/tex] and [tex]\frac{3}{11}[/tex]
Step-by-step explanation:
(a)
Expressing as a fraction
[tex]\frac{52}{90}[/tex] ( divide numerator/ denominator by 2 )
= [tex]\frac{26}{45}[/tex] ← in simplest form
(b)
Expressing as a fraction
[tex]\frac{30}{110}[/tex] ( divide numerator/ denominator by 10 )
= [tex]\frac{3}{11}[/tex] ← in simplest form
Factor the expression: 3x + 6*
Please help
Answers
Answer:
3(x+2)
Step-by-step explanation:
Answer:
3 (x + 2)
Step-by-step explanation:
3
+
6
3
(
+
2
)
At the beginning of the year, Ms. Carter had 45 post it notes on her desk. Ms. Carter now has 60% more than the post its she started with, how many post its are on her desk now?
Answers
262 + 923 + 231 - 138 = ?
Answers
Answer: 1278
Step-by-step explanation:
The wholesale cost for a purse in a department store is $12.50. The store plans to mark up the purse by 140%. What will be the selling price of
the purse to the nearest cent?
Give me the right anwser
Answers
Answer:
$30.00
Step-by-step explanation:
Percentage Markup formula =
Selling price - Cost price/Cost price × 100
From the question:
Cost price = $12.50
Selling price = unknown = x
Percentage Markup = 140%
140% = x - $12.50/$12.50 × 100
140/100 = x - $12.50/$12.50
1.4 = x - $12.50/$12.50
Cross Multiply
1.4($12.50) = x - 312.50
$17.50 = x - $12.50
x = $17.50 + $12.50
x = $30.00
Therefore, the selling price of the purse is $30.00
A skateboard park charges a $5 admission fee plus $2 for every hour spent at the park with a three-hour maximum stay. What are the input values of this problem situation?
Answers
Answer:
11 dollars
Step-by-step explanation:
If you do 1 person going into the park it starts with 5 dollars then you add 2$ to ever hour with a 3 hour limit so at the limit the amount paid would be 11 dollars if there was one person there for 3 hours
Average height of a species of tree (in feet) after a certain number of years Years 1 2 3 4 5 6 7 8 Height 2.1 3.2 6.8 7.3 11.2 12.6 13.4 15.9 What is the correlation coefficient for the set of data
Answers
Answer:
0.989
Step-by-step explanation:
i believe so at least
3. Paige draws a blue rectangle and a red rectangle. The rectangles are
similar. The blue rectangle is 8 inches wide and 4 inches longer than it is
wide. The red rectangle is 12 inches wide. How long is the red rectangle?
Answers
9 + 12 = 12 + 9
a.
Commutative Property of Multiplication
b.
Commutative Property of Addition
c.
Associative Property of Multiplication
d.
Associative Property of Addition
Answers
Answer:
it has to be d
Step-by-step explanation:
yes
45/27=x/3 solve for x pls help
Answers
Answer:
x = 5
Step-by-step explanation:
hope this helps!!
Answer:
x=5
Step-by-step explanation:
5/3=45/27
Jamal bought 5 pairs of socks and a shirt. The total cost of all of the items was $70. If the shirt cost $30, how much did each pair of socks cost?
Answers
pleaseeee help asap If f(x) = 7(x – 1) + 8, what is the value of f(5)
Answers
Step-by-step explanation:
we have to keep 5 rather than x
the answer is 36
What is 4/3 (2x-1) = -12
Answer ASAP please and the first numbers are supposed to be a fraction (4/3)
Answers
Answer:
x=-4
Step-by-step explanation:
simplify the ratio 84: 36: 108: 60
Answers
Answer:
A) 7 : 3
B) 7 : 4
Step-by-step explanation:
84 : 36
Simplified:
42 : 18 ( divided by 2)
21 : 9 ( divided by 2)
7 : 3 ( divided by 3)
7 : 3
108 : 60
35 : 20 ( divided by 3)
7 : 4 ( divided by 5)
7 : 4
Write an equation of the line that passes through the points (-3,-9) and (5.-9).
y =
Answers
have a nice day and please consider giving me brainliest if i helped you at all!
The first step in attempting to factor the expression x2−7x+10 is to write out all of the factor pairs. Which of the following is the complete list of factor pairs for the constant term in this expression?
1 and 10, 2 and 5, −1 and −10, −2 and −5
1 and 9, 2 and 8, 3 and 7, 4 and 6, 5 and 5
−1 and 7, 1 and −7
1 and 10, 2 and 5
Answers
Answer:
1 and 10, 2 and 5,-1 and -10,-2 and -5
Step-by-step explanation:
i jus took the check
The complete list of factor pairs for the constant term in this expression are
1 and 10, 2 and 5, −1 and −10, −2 and −5
The standard form of a quadratic equation is expressed as;
ax²+bx+c = 0
Given the quadratic equation x²−7x+10
To factor this expression, we need to get two values if when multiplied will give 10 (product of the coefficient of x²and the constant term) and the sum will give -7(coefficient of x).
The two values are:
-2 and -5
-2 * -5 = +10-2-5 = -72 and 5
2 * 5 = 102 + 5 = 71 and 10
1 * 10 = 0-1 and -10
-1 * -10 = 10Learn more here: https://brainly.com/question/22852340
plz, help me with this question?
Answers
divide both sides by 7 to get x alone
84/7 = 12
B.12
Answer:
b
Step-by-step explanation:
What is the number pattern of these numbers? 40, 43, 39, 42, 38, 41, 37
And, what are the next three numbers?
Answers
Answer: Add 3 and the Subtract 4. Next numbers are 40, 36, 39
Step-by-step explanation: Hope this helps :)
Answer all these questions please
Answers
b) 40m/s
13m / 3s = 4.33 m/ss
If 850 students go to the school, about how many students prefer burgers?
Answers
Answer:
340 students prefer burgers.
Step-by-step explanation:
144 is 40% of 360.
Multiply 850 by 40% to find how many students prefer burgers.
850 x 0.4 = 340
David is preparing for a dance competition. He needs to practice for 14 hours in 5 days. Which of the following statements show that David is practicing according to the required rate?
A.
55 hours in 10 days
B.
67 hours in 12 days
C.
28 hours in 10 days
D.
22 hours in 15 days
Answers
Answer:
B is your answer
Step-by-step explanation:
Answer:
it's answer is C
hope it helps you
Jasper borrowed $15,500 for college tuition at an annual interest rate of 4%. He pays the loan back at the end of 8 years. In the first box, enter the total interest paid on the loan. In the second box, enter the total amount paid.
Answers
Answer:
Total interest paid - $4960
Total money paid - $20460
Step-by-step explanation:
1. Approach;
First, one has to find the interest paid every year. This can be found by multiplying the annual interest rate by the total amount borrowed. One must multiply the amount paid each year in interest by the total year number of years the interest has been paid, to find the total interest paid. To find the total amount paid, one must add the total interest paid to the amount borrowed.
2. Finding the interest paid each year
One has to multiply the annual interest rate by the total amount borrowed;
15500 - the amount borrowed
4% - interest rate
15500 + 0.04 = 620
3. Finding the total interest paid
Now one must multiply the interest paid each year by the total interest years the interest has been paid
620 - paid in interest each year
8 - years paid
620 * 8 = 4960
4. Finding the amount total paid
Add the amount borrowed to the total interest paid
15500 - the amount borrowed
4960 - interest paid
15500 + 4960 = 20460
Helen has $30 in a savings account that earns 10% interest, compounded annually.
To the nearest cent, how much will she have in 2 years?
Answers
Answer:
100+10= 110
110/100= 1.1
30 X 1.1^2= 36.3
$36.30
The integer to represent a gain of 9 pounds would be ______.
Answers
Answer: -9
Step-by-step explanation:
Charise's expenses for the month of July are outlined below. Car insurance: $120.54 Cell phone bill: $55.99 Groceries: $65.00 Her monthly income is $1,050.00. What percentage of her income are expenses?
Answers
Answer: so the total of her percentage will be $28.21
Step-by-step explanation:you have to go like
120.54%
55.99
65.00
1,050,00
and you will find your answer.