SOLUTION: a wedge is cut from a cylinder of radius 3m by two planes, one perpendicular to the axis of the cylinder and the other passing through the diameter of the section made by the first
Algebra.Com
Question 1178401: a wedge is cut from a cylinder of radius 3m by two planes, one perpendicular to the axis of the cylinder and the other passing through the diameter of the section made by the first plane and inclined to this plane at an angle of 45 degree. find the volume of the wedge?
Answer by ikleyn(52786) (Show Source): You can put this solution on YOUR website!
.
a wedge is cut from a cylinder of radius 3m by two planes, one perpendicular to the axis of the cylinder
and the other passing through the diameter of the section made by the first plane and inclined to this plane
at an angle of 45 degree. find the volume of the wedge?
~~~~~~~~~~~~~~~
.
For this special case, use the formula for the volume of cylindrical wedge
V = = = 2*9 = 18 m^3.
For the formula, see the link
https://mathworld.wolfram.com/CylindricalWedge.html
RELATED QUESTIONS
A circular cylinder having a length of 12 m has a radius of 3 m. If a wedge is cut from... (answered by ikleyn,beezz)
A cylinder with r=1 is cut by 2 planes to form a "wedge."
One plane is normal to the... (answered by greenestamps,ikleyn)
A cylinder with r=1 is cut by 2 planes to form a "wedge."
One plane is normal to the... (answered by ikleyn)
Thx to Alan3354 & to Ikleyn for the problem a few days ago.
---
I have a similar... (answered by Alan3354)
A cylinder 2 inches in diameter and 10 inches long is cut into 2 pieces.
The cut is made (answered by ikleyn,Alan3354)
2 planes intersect a cylinder of radius r.
The line generated is a diameter of the... (answered by Alan3354)
A 90ยบ wedge is removed from a right circular cylinder with a radius of 9 inches and a... (answered by math_helper,ikleyn)
A diameter of a sphere of radius R coincides with an element of a right circular cylinder (answered by CPhill)
If the radius of a right circular cylinder is tripled and it's altitude cut in half, the... (answered by Shin123,josgarithmetic)