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Zinaida [17]
3 years ago
10

If a cone has a volume of 113.04 cubic meters and a radius of 3 meters, what is the height of the cone? (Use 3.14 for π.) 4 mete

rs 8 meters 12 meters 16 meters
Mathematics
1 answer:
butalik [34]3 years ago
5 0

Answer:

Height (h) = 12 meters

Step-by-step explanation:

VOLUME OF A CONE is expressed as:

Volume = ⅓πr²h

Volumn = 113.04m²

Radius = 3m

π = 3.14

Height = ??

Let's substitute the values into the given expression for the volume of a cone.

Therefore, it becomes:

113.04 = ⅓ * 3.14 * 3² * h

113.04 = 0.33 * 3.14 * 9 * h

113.04 = 9.33h

Divide both sides by 9.33

h = 113.04 / 9.33

h= 12.12 m

Height (h) = 12 meters (Approximately)

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Joe’s age is three times Aaron’s age and Aaron is six years older than Christina. If the sum of their ages is 149, what is Chris
Leno4ka [110]

<u>Answer</u>

If Christina's age is = x

Aaron's age is = x + 6

Jeo's age = 3(x + 6 )

So, the sum of their ages can be write as,

x + x + 6 + 3(x + 6) \\ x + x + 6 + 3x + 18 \\ 5x + 24

Also, they have given that the sum of their ages is 149

Therefore we can write a equation as,

5x + 24 = 149

Now let's solve this and find the age of Christina

5x + 24 = 149 \\ 5x = 149 - 24 \\ 5x =12 5 \\  \frac{5x}{5}  =  \frac{125}{5}  \\ x = 25

Aaron's age is

x+ 6 \\ 25 + 6 \\  = 31

Joe's age is

3(x + 6) \\ 3(25 + 6) \\ 3 \times 31 \\  = 93

Hope this helps you.

Let me know if you have any other questions :-):-)

8 0
2 years ago
Hamburgers cost $2 and hotdogs cost $2. The total cost of buying b hamburgers and d hotdoge can be expressed by C=3b+2d. how can
sveticcg [70]
C= 3b + 2d
Subtract 3b first.

C-3b = 2d
Divide by 2.

C-3b/2 = d

OR

C-3b
-------- = d Your final answer!
2
3 0
3 years ago
CD is the perpendicular bisects of both XY and ST. match the lengths and the segments below.
Tcecarenko [31]

Given

Answer

CT = 12

SX= 16-12 = 4

MT = 5

DY = 7

7 0
1 year ago
U will be made brainiest if this answer is right
Daniel [21]

Answer:

x= -7

Step by Step Explanation:

We can write them both like functions like this

A= 5x- 4

B= 3x+ 8

The output of A will be three times the output of B

A=3b

We replace with the functions

5x-4= 3

We solve for x

5x= -4= 9x + 24

5x- 9x= 24 + 4

-4x= 28

x= 28 - 4

x= -7

The output that makes the out put of A 3 times the output of B is -7

Hope it helped

4 0
3 years ago
When people buy wood to burn in a stove they purchase it in units of cords ( stacks that are 128 cubic feet).Camilla had 3 cords
bagirrra123 [75]

Answer:

Step-by-step explanation:

Formula

r = amount / time

Givens

amount = 3/10

time = 2/5

Solution

r = 3/10 // 2/5

Invert the denominator (2/5) and multiply rather than divide.

r = 3/10 * 5/2    Cancel 5 into the 10

r = 3/2 * 1/2

answer: r = 3/4 chord / hour

4 0
3 years ago
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