Solve and illustrate the problem. 1. Find the volume of the wedge cut from a right circular cylinder of radius 8 cm by two planes - one perpendicular to the axis of the cylinder and the other intersecting the first plane at a 45° angle along a diameter of the circular cross section made by the first plane.

Solve and illustrate the problem. 1. Find the volume of the wedge cut from a right circular cylinder of radius 8 cm by two planes - one perpendicular to the axis of the cylinder and the other intersecting the first plane at a 45° angle along a diameter of the circular cross section made by the first plane.

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

Chapter9: Surfaces And Solids

Section9.3: Cylinders And Cones

Problem 40E: For a right circular cone, the dimensions are r=6 cm and h=8 cm. If the length of the radius is...

See similar textbooks

Similar questions

Find the volume of the oblique circular cylinder. The axis meets the plane of the base to form a 45 angle.
For the right triangular prism, suppose that the sides of the triangular base measure 4 m, 5 m, and 6 m. The altitude is 7 m. a Find the lateral area of the prism. b Find the total area of the prism. c Find the volume of the prism.
For a right circular cone, the dimensions are r=6 cm and h=8 cm. If the length of the radius is doubled while the height is made half as large in forming a new cone, will the volumes of the two cones be equal?
The surface of a soccer ball is composed of 12 regular pentagons and 20 regular hexagons. With each side of each regular polygon measuring 4.5 cm, the area of each regular pentagon is 34.9 cm2 and area of each regular hexagon is 52.5 cm2. a What is the surface area of the soccer ball? b If the material used to construct the ball costs 0.8 of a cent per square centimeter, what is the cost of the materials used in construction?