Please help me solve for x
1 answer:
You might be interested in
Image of the cone is attached.
Answer:
a) 24π cm³
b) 168π cm³
Step-by-step explanation:
We know the formula for volume of a cone is expressed as:
a) To find the volume of the bottom section, given the values:
diameter, d = 6 cm
radius, r =
height, h = 8cm
Let's use the formula,
Substituting values, we have:
Vtop = 24π cm³
Therefore, volume of the bottom section of the cone is 24π cm³
b) volume of the top section.
Volume of the top section would be derived by subtracting the volume of the bottom section from the volume of the cone.
Vtop = V - Vbottom
Now, let's find the volume of the cone.
Given:
diameter, d = 12 cm
radius, r =
height, h = 16cm
Let's use the formula,
Substituting values, we have:
V = 196π cm³
Therefore, volume of the bottom section =
Vtop = V - Vbottom
= 192π - 24π
= 168π cm³
Therefore volume of the top section of the cone is 168π cm³
