To find the volume of an irregular hollow shape using volume of water
Answers
Fill a big measuring cylinder with graduations (big enough to submerge your object completely) with water. Make a mark indicating current water level.
Now take the object, and immerse it in the bowl till it is completely submerged. Mark the new level.
The difference between the two levels gives you the volume of the object in mL.
To convert to m^3, use the relations:
1 m^3 = 1000L
1L = 1000mL
This method works with all objects, whether hollow or solid.
Answer:
Step-by-step explanation:
You can calculate the volume of irregular shapes easily once you know how to get the volume of a single three-dimensional shape .
A house
The house above is made of two 3-d shapes: A triangular prism and a rectangular prism
The roof of the house is the one shaped like a triangular prism
Volume of house = volume of triangular prism + volume of rectangular prism
volume of triangular prism = area of triangle × length of house
volume of triangular prism =
base of triangle × height of triangle2
× length of house
length of house = 50 feet, base of triangle = 15 feet, and height of triangle = 10 feet
volume of triangular prism =
15 × 102
× 50
volume of triangular prism = 75 × 50 = 3750 feet3
volume of rectangular prism = 15 × 15 × 50 = 11250 feet3
Volume of house = 3750 + 11250 = 15000 feet3
Ice cream cone:
When you order ice cream, you may have never realized that it could be a combination of half a sphere and a cone
Of course, we have to assume that the shape made by the ice cream scoop is half a sphere.
The shape of my ice cream shown below is half a sphere and then we put it on a cone. What is the volume?
It may be easier to see how to compute the volume if we remove the ice cream
Pretend that the radius of the cone or r is 1.5 inches and the height of the cone or h is 6.5 inches here is how to compute the volume
Volume = volume of half the sphere + volume of the cone
volume of a sphere =
4 × π × r33
volume of a sphere =
42.393
volume = 14.13 inches3
Since it is half a sphere, we get 7.065 inches3
volume of a cone =
π × r2 × h3
volume of a cone =
3.14 × 1.52 × 6.53
volume of a cone =
45.92253
volume of cone = 15.3075 inches3
volume of the whole thing is 7.065 + 15.3075 = 22.3725 inches3
A box has 4 identical ice cream cones arranged inside of the box as shown below. The radius of the base of the cone is 1 inch and the height is 6 inches
What is the volume of the space left inside the box ?
Space left inside the box = volume of box - volume of 4 cones
Volume of box = 8 × 8 × 8 = 512 inches3
volume of a cone =
π × r2 × h3
volume of a cone =
3.14 × 12 × 63
volume of a cone = 6.28. Therefore, volume of 4 cones = 4 × 6.28 = 25.12
Volume left inside = 512 - 25.12 = 486.88 inches3
Hopefully you know now how to find the volume of irregular shapes!