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2 years ago

Find the volume of the cone. Round your answer to the nearest tenth if necessary. Use 3.14 for π.

Mathematics

1 answer:

pashok25 [27]2 years ago

8 0

200.96 cm^3

Step-by-step explanation:

The equation for the volume of a cone is...

$V=\frac{1}{3}\pi r^2h$

Since we are using 4 for the radius we can plug that in, along with 12 for the height and 3.14 for pi.

So the equation with everything plugged in will be...

$V=\frac{1}{3}*3.14*4*4*12$

Now we can solve.

$V=200.96$

The volume of the cone is...

200.96 cm^3

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(-2.5,-4)and(1.5,-2)

svlad2 [7]

Slope-

m = 0.5

Midpoint-

(-0.5, -3)

Distance between two points-

4.47213595

Equation of the line-

y = 0.5x - 2.75

y intercept-

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Graph-

3 0

3 years ago

PLEASE ANSWER THE QUESTION IN THE PICTURE BELOW

vekshin1

9514 1404 393

Answer:

12 square inches

Step-by-step explanation:

The area is given by the formula ...

A = 1/2bh

Here, the base is 6 inches and the height is given as 4 inches. Then the area is ...

A = (1/2)(6 in)(4 in) = 12 in²

The area of the triangle is 12 square inches.

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Comment on the problem

Since you are given the base and height, we presume you are intended to use the formula above. You are also given all three side lengths. If you use the appropriate formula with those, you find the area is about 15.6 square inches. (The height of this triangle is actually closer to 5.2 inches.)

The figure represents a geometry that cannot exist. With the given base and height, the side lengths should be 5, not 6.

8 0

2 years ago

A scale drawing of a building has the scale 0.5in : 6ft. A wall is 30 ft long. How long will the wall be on the drawing?

g100num [7]

The scale 0.5 in : 6 ft, means that

any distance of 0.5 in on paper, represents 6 ft in reality

for example:

0.5*2= 1(in) represents 6*2=12 (ft)

0.5*4= 2(in) represents 6*4=24 (ft)

0.5*10=5(in) represents 6*10=60 (ft) and so on...

Let the wall be x (in) in the drawing:

0.5 (in) represents 6 (ft),
x (in) represents 30 (ft)
----------------------------------------

thus x = (0.5*30)/6 = 15/6= 2.5 (in)

Answer: 2.5 in

8 0

3 years ago

Write two prime numbers whose difference is 10?

bagirrra123 [75]

23-13=10

Prime numbers : A whole number greater than 1 that can not be made by multiplying other whole numbers Prime numbers between 1 to 100 : 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, and 97 So, The two numbers whose difference is 10 are 13 and 23 23-13=10

3 0

3 years ago

The promising alternative energy sources currently under development are fuel cell technology and large-scale solar energy power

Mumz [18]

Answer:

Step-by-step explanation:

a) Denote the event of commercially availability of f_uel cell technology as F_, commercial availability of solar power technology as S

Write the probability of energy supplied by these energy sources in the next 10 years

P(energy supplied) = P(S ∪ F) -----(1)

Rewrite eqn (1)

P(energy supplied) = P(S) + P(F) - P(F) P(S) ----(2)

substitute 0.85 for P(S) and 0,7 for P(F) in eqn (2) to find the probability of energy supplied by these energy sources

P(energy supplied) = 0.85 + 0.7 - (0.7 * 0.85)

= 0.85 + 0.7 - (0.595)

= 1.55 - 0.595

= 0.955

Therefore, the probability that there will be energy supplied by these two alternative sources in the next 10 years is 0.955

B) write the probability of only one source of energy available

P(only one source of energy available) = $P(\bar F S)$ ∪ $P( \bar S F)$ ---(3)

Rewrite the equation (3)

P(only one source of energy available) =

$=P(\bar F S)+P(\bar S F)\\\\=\{[1-P(F)]P(S)+[1-P(S)]P(F)\}---(4)$

$=\{[1-0.7]0.85+[1-0.85]0.7\}\\\\=0.255+0.105\\\\=0.36$

Therefore,The probability that only one of the two alternative energy sources will be commercially viable in the next 10 years is 0.36

4 0

2 years ago