Find the perimeter of the figure.
2 answers:
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Answer:
Volume of gumball without including its hollow core is 48347.6 cubic mm.
Step-by-step explanation:
Given:
Diameter of Gumball = 66 mm
Since radius is half of diameter.
Radius of gumball =
Now We will first find the Volume of Gumball.
To find the Volume of Gumball we will use volume of sphere which is given as;
Volume of Sphere =
Now Volume of Gumball =
Also Given
Diameter of gumball's spherical hollow core = 58 mm
Since radius is half of diameter.
Radius of gumball's spherical hollow core =
Now We will find the Volume of gumball's spherical hollow core.
Volume of Sphere =
So Volume of gumball's spherical hollow core =
Now We need to find volume of the gumball without including its hollow core.
So, To find volume of the gumball without including its hollow core we would Subtract Volume of gumball spherical hollow core from Volume of Gumball.
volume of the gumball without including its hollow core = Volume of Gumball - Volume of gumball's spherical hollow core =
Rounding to nearest tenth we get;
volume of the gumball without including its hollow core =
Hence Volume of gumball without including its hollow core is 48347.6 cubic mm.
4. The point Z is the orthocenter of the triangle.
5. The length of GZ is of 9 units.
6. The length of OT is of 9.6 units.
<h3>What is the orthocenter of a triangle?</h3>The orthocenter of a triangle is the point of intersection of the three altitude lines of the triangle.
Hence, from the triangle given in the end of the answer, point Z is the orthocenter of the triangle.
For the midpoints connected through the orthocenter, the orthocenter is the midpoint of these segments, hence:
- The length of segment GZ is obtained as follows: GZ = 0.5 GU = 9 units. -> As z is the midpoint of the segment.
- The length of segment OT is obtained as follows: OT = 2ZT = 2 x 4.8 = 9.6 units.
The complete problem is given by the image at the end of the answer.
More can be learned about the orthocenter of a triangle at brainly.com/question/1597286
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