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dsp73
3 years ago
6

Find the volume of a right circular cone that has a height of 17.7 cm and a base with a diameter of 15.8 cm. Round your answer t

o the nearest tenth of a cubic centimeter.
Mathematics
2 answers:
kvasek [131]3 years ago
5 0

Answer:

1157.3cm^3

Step-by-step explanation:

voume of a cone =V=πr^2h^3

Diameter = 15.8cm

Height = 17.7cm

Radius = diameter/2

= 15.8/2 = 7.9cm

Pi = 22/7

V = 22/7 ×7.9×7.9×17.7/3

= 22/7×62.41×5.9

V = 1157.25cm^3

Hence the volume of the cone is 1157.3cm^3

to the nearest 10th

Lelu [443]3 years ago
3 0

Answer:

1156.8cm^3

Step-by-step explanation:

The volume of a cone is given as:

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

where r = radius

h = height of cone

The height of the cone is 17.7 cm and its base radius is 7.9 cm (diameter is 15.8 cm).

Its volume is:

V = \frac{1}{3} * \pi = 7.9^2 * 17.7\\ \\V = 1156.8cm^3

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6. The vertices of ALMN are L(7,4), M(7,16), and
max2010maxim [7]

Answer:

(a) LM=12 units, LN=35 units, MN=37 units

(b)8 84 units

(c) 210 square units

Step-by-step explanation:

(a)

Since points L and M have same x coordinates, it means they are in the same plane. Also, since the Y coordinates of L and N are same, they also lie in the same plane

Length LM=\sqrt {(7-7)^{2}+(16-4)^{2}}=12 units

Length LN=\sqrt {(42-7)^{2}+(4-4)^{2}}=35 units

LengthMN=\sqrt {(42-7)^{2}+(4-16)^{2}}=37 units

Alternatively, since this is a right angle triangle, length MN is found using Pythagoras theorem where

MN=\sqrt {(LN)^{2}+(LM)^{2}}=\sqrt {(12)^{2}+(35)^{2}}=37 units

Therefore, the lengths LM=12 units, LN=35 units and MN=37 units

(b)

Perimeter is the distance all round the figure

P=LM+LN+MN=12 units+35 units+37 units=84 units

(c)

Area of a triangle is given by 0.5bh where b is base and h is height, in this case, b is LN=35 units and h=LM which is 12 units

Therefore, A=0.5*12*35= 210 square units

4 0
2 years ago
Is -100 rational or irational
pychu [463]

-100 is rational.

-100 can be turned into a fraction by doing the following...

Just put 1 underneath -100 and you get \frac{-100}{1}

So that means it is rational since it can be a fraction!

4 0
3 years ago
If an experimenter sets equal to .01, then she is defining a "statistically rare" event as an event occurring more than one time
Fynjy0 [20]

Answer:

The correct answer is an event occurring one or fewer times in 100 times if the null hypothesis is true.

Step-by-step explanation:

For a statistically rare event, its probability is relatively small and the event is very unlikely to occur.  Therefore, if an experimental sets equal to 0.01 which is statistically rare, then we can interpret this mathematically as:

p(event) = 0.01 = 1/100

where p(event) is the probability of the event.

In addition, statistically, null hypothesis signifies no major difference between the specified parameters, and any obvious difference that might occur as a result of experimental error. Thus, it can be concluded that the event is occurring one or fewer times in 100 times if the null hypothesis is true.

3 0
3 years ago
Question 3 (1 point)<br> Find the area of the triangle.<br> 26 in<br> 26 in<br> 26 in
MAXImum [283]

Formula of the area of a triangle:

A = hbb/2

Plug in the numbers.

26 · 26/2

= 338

Therefore, the area of the triangle is 338

5 0
3 years ago
Answer if you want, 10 points
rjkz [21]

Answer:

hi

Step-by-step explanation:

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\frac{8}{4} = 2 \\  \\ 1 \times \frac{4}{5}  =  \frac{9}{5}

in the second one you should multiple 5 and 1 then add 4

8 0
2 years ago
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