- #1
Ruturaj Vaidya
- 8
- 0
Area of circle = Pi (r)^2
Volume of Cone = 1/3 Pi (r)^2 h
Here is my try:
I know the smaller cone and bigger ones are congurent, so
50/25 = 15/h
h=7.5, but the answer is incorrect. Please help
This is not correct: the height of the bigger cone is not 15.Ruturaj Vaidya said:50/25 = 15/h
You need the formula for the volume of a frustum of a cone. Find the volume of the outer portion of the cone, and then find the volume of the inside, which is also a frustum of a cone, but a little bit smaller.Ruturaj Vaidya said:Yes, thanks, I have realized that . The total height is 30m. However, I can't calculate the volume of fiber composite needed?
Why do you think it doesn't work. Please show us what you did.Ruturaj Vaidya said:Yes, I have tried that, but that does not work either :(
You really have things confused here. The image you showed has a trapezoidal shaped solid that has nothing to do with this problem, and you mentioned "area of circles" above.Ruturaj Vaidya said:Here is what I did:
I found that the net of the cone are basically two rings (for the composite fiber) and a trapezium)for the curved surface.
It is a three dimensional trapezium, so I multiplied the trapezium's area by the width (2.5cm). I subtracted the volume of the larger trapezium prism with that of the smaller trapezium prism, to gain the composite fiber volume. Here is my workingowever, the answer is ridiculously large, and even when I don't add the area of the circles (as seen above), the answer remains large. The solutions sheet says that the answer is closer to 8.67 cm^3
The formula for calculating the volume of a cone is V = (1/3)πr2h, where r is the radius of the base and h is the height of the cone.
The radius of a cone can be found by measuring the distance from the center of the base to the edge of the base. Alternatively, if the diameter of the base is known, the radius can be found by dividing the diameter by 2.
The unit of measurement for volume is typically cubic units, such as cubic centimeters (cm3) or cubic meters (m3).
A cone has a circular base and a curved surface that tapers to a point, while a cylinder has two parallel circular bases connected by a curved surface. Additionally, the volume formula for a cone includes a factor of 1/3, while the volume formula for a cylinder does not.
No, the volume of a cone cannot be negative. Volume is a measure of the amount of space an object occupies and cannot be negative. If the calculated volume is negative, it is likely due to an error in measurement or calculation.