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12345 [234]
3 years ago
7

Find the volume of the cone below.

Mathematics
1 answer:
jeka57 [31]3 years ago
5 0

Answer:

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

For this case we know that the radius is r=7cm and the height is h =11cm. And replacing we got:

V=\frac{1}{3} \pi (7cm)^2 (11cm)= \frac{1}{3} \pi (49cm^2) (11 cm)=\frac{539}{3} \pi cm^3

And the best option would be:

V = \frac{539}{3} \pi cm^3

Step-by-step explanation:

For this case we know that the volume of the cone is given by:

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

For this case we know that the radius is r=7cm and the height is h =11cm. And replacing we got:

V=\frac{1}{3} \pi (7cm)^2 (11cm)= \frac{1}{3} \pi (49cm^2) (11 cm)=\frac{539}{3} \pi cm^3

And the best option would be:

V = \frac{539}{3} \pi cm^3

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Joy and joanna both purchase party invitations.They both spent the same amount of money. Joy spent $.75 per invitation and $3.25
Ksenya-84 [330]

Answer:

11 invitations each

Step-by-step explanation:

Let the number of invitations they bought be x .

Since they spent the same amount of money, Their total costs would be the same. Hence ;

3.25 + 0.75(x) = 0.5x + 6

0.75x - 0.5x = 6 - 3.25

0.25x = 2.75

x = 2.75/0.25

x= 11 invitations

5 0
3 years ago
Frank works at a convenience store. He earns 7.50 per hour when he works during the day. He earns 12.50 per hour when he works a
fredd [130]

Answer:

7.50x + 12.50y = 300

Step-by-step explanation:

6 0
2 years ago
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Passes through (-2,2), Parallel to a line whose slope is -1. ​
Lyrx [107]

Answer:

.

Step-by-step explanation:

4 0
2 years ago
Sonic rolls up a slope at 9.4 m/s. after 3.0 he is rolling back down ay 7.4 m/s. how far up the hill is he at this time?
vovikov84 [41]
U= 9.4m/s
v= -7.4m/s (Negative sign because it is in the opposite direction as he is rolling back)
t= ?
s= ?
a= ?
Now, a= v-u/t
= -7.4-9.4÷3
=-5.6
By the second equation of motion.
s= ut+1÷2at*2 ( *2 is the power)
s= 9.4×3+1÷2×-5.6×3*2
= 28.2 +(-25.2)
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Therefore s or the distance travelled is 3m.


6 0
2 years ago
Find the value of Y in the figure above .
Blizzard [7]

9514 1404 393

Answer:

  • x = 37
  • y = 22

Step-by-step explanation:

Consecutive interior angles are supplementary.

  (x -20)° +(4x +15)° = 180°

  5x = 185 . . . . . . . . . . . . . . divide by °, add 5

  x = 37 . . . . . . . . . . . . divide by 5

__

  74° +(5y -4)° = 180°

  5y = 110 . . . . . . . . . . . divide by °, subtract 70

  y = 22 . . . . . . . . . . divide by 5

3 0
3 years ago
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