Question

Calculate the volume of liquid that would fill the bowl of the glass. Show all your work.

Answer 1

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

Answer 2

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,

$V=\dfrac{1}{3}\pi r^2\sqrt{l^2-r^2}$

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,

$r=\dfrac{5}{2}\\r=2.5\rm cm$

The slant height of the cone is 8 cm. Thus, put the value to find the volume of cone as,

$V=\dfrac{1}{3}\pi (2.5)^2\sqrt{(8)^2-(2.5)^2}\\V\cong 49.74\rm cm^3$

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;

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