Yeah his answer is correct Good job!
(1/3) × the cone's volume = The cylinder's volume.
Step-by-step explanation:
Step 1:
The volume of any cone is obtained by multiplying 
with π, the square of the radius (
) and the height (
).
So the volume of the cone, 
.
Step 2:
The cylinder's volume is nearly the same as the cone but instead by multiplying we multiply with 1.
So the cylinder's volume is determined by multiplying π with the square of the radius of the cylinder () and the height of the cylinder ().
So the the cone's volume, 
.
Step 3:
Now we equate both the volumes to each other.
The cone's volume : The cylinder's volume = 
= 
.
So if we multiply the cone's volume with we will get the cylinder's volume with the same dimensions.
Answer:
<em>No</em>, a pentagon can NOT be a cross-section of a triangular prism.
Step-by-step explanation:
Prisms have a uniform cross-section and are named after their cross-section. Hence, the cross section of a triangular prism is a triangle. The only prism with a pentagon cross-section is a pentagonal prism.
Answer:
x: 3/4, 1 1/4, x
y:6 1/4, 7 3/4, y
Step-by-step explanation:
Answer:
1. C 2.D 3.D 4.A
Step-by-step explanation:
The first one would be C because the slope is -1, which can also be -x and the y-intercept is 0, meaning you don't need to add or subtract anything.
The second one is D because the slope is -3, meaning it's -3x, and the y-intercept is positive, meaning you add 5.
The third one is D because the slope is 5/4, which is 5/4x and the y-intercept is positive 3, meaning you add 3.
And the fourth one is A because there is no slope, so y would just equal 3.
