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lisabon 2012 [21]
3 years ago
12

A cylindrical pail that has the base area of 9 pi inches squared and a height of 10 inches. One friend bought a pyramid mold wit

h a square base with edge length of 4 inches and height of 7 inches. The other friend bought a cone with a radius of 2.5 inches and the height of six inches. What is the volume of these three objects?
Mathematics
1 answer:
FromTheMoon [43]3 years ago
3 0

Answer:

  • cylinder — 90π in³
  • pyramid — 37 1/3 in³
  • cone — 12.5π in³

Step-by-step explanation:

The volume of a cylinder is given by ...

  V = Bh . . . . . where B is the base area and h is the height

The volume of a pyramid or cone is given by ...

  V = (1/3)Bh . . . . . where B is the base area and h is the height

The area of a square of side length s is ...

  A = s²

The area of a circle of radius r is ...

  A = πr²

___

Using these formulas, the volumes of these objects are ...

  cylinder: (9π in²)(10 in) = 90π in³

  square pyramid: (1/3)(4 in)²(7 in) = 37 1/3 in³

  cone: (1/3)(π(2.5 in)²)(6 in) = 12.5π in³ . . . . slightly larger than the pyramid

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Please help me with this problem.
Alik [6]

We're going to use the equation given but let's first make sure we understand what the equation IS saying:

Area of a kite= [(1st diagonal) × (2nd diagonal)]/2

Now, let's find the 2 diagonals. In the case of kite shapes one of the diagonals is the line that goes from W to Y and the other is the line going from X to Z. In a kite they will always cross (no matter their lengths).

Now that we know the diagonals we can add the lengths that are given for each line to know what to multiply.

Line W to Y: 20+12= 32

Line X to Z: 12+12= 24

Now let's plug these numbers into the equation (it doesn't matter the order of the diagonals because we're just gonna be multiplying them either way!)

So...

(32×24)/2= 384 units squared (because it is area)

8 0
3 years ago
How many different lines of symmetry does a square have?
Sedaia [141]

Answer:

4

Step-by-step explanation:

8 0
1 year ago
Can someone help me! Please
likoan [24]

Answer:

4c - 2

Step-by-step explanation:

Add up all the terms to find the perimeter.

2c + 2(c - 1)

2c + 2c - 2

4c - 2

Therefore, the perimeter is 4c - 2.

5 0
3 years ago
Can someone please help with number 2?
LenaWriter [7]
Just multiply 1/6 it's the scale factor so it'll tell you how you will shrink or enlarge the length
3 0
2 years ago
100m world record was completed at an average speed of 37.6 km/h. work out this speed in meters per second?
pickupchik [31]

Step-by-step explanation:

1 km = 1000 m

1 hour = 3600 s

so,

37.6 km = 37,600 m (still per hour or per 3600 s).

in 1 second now that is

37600/3600 = 10.44444444... m/s

4 0
1 year ago
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