Answer :
Answer:
Volume = ⅔πr³
Step-by-step explanation:
Given
Shape: Cone
Height = 2 * Radius
Required
An expression for the volume of the cone.
Let h and r represent the height and the radius of the cone, respectively.
So, h = 2r.
So solve this question, we simply write out the formula to calculate the volume of a cone.
Volume = ⅓πr²h
Substitute 2r for h.
Volume = ⅓πr²(2r)
Volume = ⅓πr² * 2r
Volume = ⅔πr³
Hence, the above expression represent the volume of a cone when h = 2r
The expression that represents the volume of the cone in cubic units is: ⅔πr³.
What is the Volume of a Cone?
Volume of cone = ⅓πr²h
r is the radius; h is the height of the cone.
Given:
- Radius of the cone = r
- Height = 2(r) = 2r
Therefore, substitute the values into the formula for the volume of a cone:
Volume of cone = ⅓π(r²)(2r)
Volume of cone = ⅔πr³
Therefore, the expression that represents the volume of the cone in cubic units is: ⅔πr³.
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