The volume of a cone by definition is given by:
V = (pi * r ^ 2 * h) / (3)
Where,
r: radio
h: height
Clearing the height of the original cone we have:
h = (3 * V) / (pi * r ^ 2)
Substituting values:
h = (3 * 1875) / (pi * (40) ^ 2)
h = 1.119058194
We now look for the scale factor:
K = 16/40
Simplifying:
K = 4/10
K = 2/5
We apply the scale factor to the new volume:
V '= ((k ^ 3) * (pi * r ^ 2 * h)) / (3)
Substituting:
V '= (((2/5) ^ 3) * (pi * (16) ^ 2 * (1.119058194))) / (3)
V '= 19.2 cm ^ 3
Answer:
the volume of a similar cone with a radius of 16 cm is:
V '= 19.2 cm ^ 3
Answer:
If the third term of an arithmetic sequence is-21and the sixth term is-6 find the first and eighth term of the sequence
Step-by-step explanation:
Are you talking about the angles in a triangle? Your question is not clear. I'll assume you are talking about a triangle.
Angle 1 + Angle 2 + Angle 3 = 180°
4x + 15 + 2x + 16 + x = 180°
Solve for x to find Angle 3, which in this case is the value of x.
