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RideAnS [48]
3 years ago
6

An hourglass, composed of two identical cones, is 12 cm tall. The radius of each cone is 3 cm. If you want to fill the bottom ha

lf of the hourglass full of salt, how much salt will you need? Explain the method you would use to find the amount of salt.
Mathematics
1 answer:
EleoNora [17]3 years ago
6 0
The volume of a cone is V= (1/3)pi r²h
it was given 
h=12cm
radius=3cm 
the volume of the first cone is V1= 1/3)pi r²h1
where h1= h/2=6cm 
so its volume is V1=1/3)xpix3²x6=56.52cm^3

and since the two cones are identical so V1=V2=<span>56.52cm^3,
we need </span><span>56.52cm^3 or salt </span>
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Solve for x<br> -x + 4=22
bekas [8.4K]

Answer: x = −18

Step-by-step explanation:

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-4' to each side of the equation.

4 + -4 + -1x = 22 + -4

Combine like terms: 4 + -4 = 0

0 + -1x = 22 + -4

-1x = 22 + -4

Combine like terms: 22 + -4 = 18

-1x = 18

Divide each side by '-1'.

x = -18

Simplifying

x = -18

6 0
3 years ago
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A person is running at an initial velocity of 3.7 m/s. If the person is accelerating at 2 m/s2, what is their final velocity aft
igomit [66]

<u>Statement</u><u>:</u>

A person is running at an initial velocity of 3.7 m/s. If the person is accelerating at 2 m/s².

<u>To </u><u>find </u><u>out:</u>

The person's final velocity after 3 s.

<u>Solution</u><u>:</u>

  • Initial velocity (u) = 3.7 m/s
  • Acceleration (a) = 2 m/s²
  • Time taken (t) = 3 s
  • We know, the equation of motion,
  • v = u + at
  • Putting the values in the above equation, we get,
  • v = 3.7 m/s + 2 m/s² × 3 s
  • or, v = 3.7 m/s + 6 m/s
  • or, v = 9.7 m/s

<u>Answer</u><u>:</u>

The final velocity is 9.7 m/s in the direction of the motion.

Hope you could understand.

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7 0
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