Calculate the volume of liquid that would fill the bowl of the glass. Show all your work.
Answers
Answer:
52.36
Step-by-step explanation:
Formula to find volume in a cone is
V = pi • radius^2 h/3
So we fill in the numbers
V = pi •
the radius is half of diameter,
The diameter is 5
So it's
V = pi • 2.5
since it's half of 5
V = pi • 2.5^2 h/3
the height is 8 so we fill it in
V = pi • 2.5^2 8/3
When calculated, you get..
52.36
The volume of the liquid which can fill the bowl of the glass (in shape of cone) with the liquid is 49.74 cm³.
What is of volume of solid?Volume of solid is the amount of quantity, which is obtained by the solid or object in the 3 dimensional space.
The volume of the cone can be given as,
[tex]V=\dfrac{1}{3}\pi r^2\sqrt{l^2-r^2}[/tex]
Here, (r) is the radius of the base of the cone and (l) is the slant height of the cone.
Here, the diameter of the cone is 5 cm. thus the radius of the cone is,
[tex]r=\dfrac{5}{2}\\r=2.5\rm cm[/tex]
The slant height of the cone is 8 cm. Thus, put the value to find the volume of cone as,
[tex]V=\dfrac{1}{3}\pi (2.5)^2\sqrt{(8)^2-(2.5)^2}\\V\cong 49.74\rm cm^3[/tex]
Thus the volume of the liquid which can fill the bowl of the glass (in shape of cone) with the liquid is 49.74 cm³.
Learn more about the volume of solid here;
https://brainly.com/question/1355179
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