Complete the statements about the cone.
The height is units.
The radius is units.
The volume is Tot cubic units.
10
6
Answers
Answer:
The answers are:
The height is 6
The radius is 8
The volume is 128 π cubic units.
Step-by-step explanation:
The height is shown in the picture. So the first answer is 6.
To find the radius, you use the equation. [tex]\sqrt{slant height^{2}- height^{2} }[/tex] = radius
The slant height 10, and the height is 6. So you plug those into the equation and solve.
[tex]\sqrt{10^{2}-6^{2} }[/tex] =
[tex]\sqrt{100-36}[/tex] =
[tex]\sqrt{64}[/tex] = 8
So the radius is 8.
Now we use the equation [tex]\pi[/tex][tex]r^{2}[/tex] [tex]\frac{h}{3}[/tex] = volume.
[tex]\pi[/tex][tex]8^{2}[/tex] [tex]\frac{6}{3}[/tex] =
[tex]\pi[/tex]64 [tex]\frac{6}{3}[/tex] =
[tex]\pi[/tex] 64(2) = 128 [tex]\pi[/tex] cubic units
I hoped this helped you. I would love brainiest.
The statements about the cone is that,
The height is 6 units, the radius is 8 units and the volume is 128π cubic units.
What is Volume?Volume of a three dimensional shape is the space occupied by the shape.
Given a cone.
We have to find the complete the statements related to the cone.
From the figure,
height of the cone = 6 units
Using the Pythagoras theorem,
Radius of the cone = √(10² - 6²) = 8 units
Volume of the cone = 1/3 π r² h
= 1/3 π × 8² × 6
= 128π cubic units
Hence the height, radius and volume of the cone are 6 units, 8 units and 128π cubic units respectively.
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