4. A cone just fits inside a cylinder with a diameter of 8 m and a height of 11 m. What is thevolume of the cone?5. A spherical gemstone just fits inside a plastic cube with edges 10 cm. Calculate the volumeof the empty space in the cube.

These are geometry based problem where volume of the cone and the volume of the empty space when a…

Answered: 4. A cone just fits inside a cylinder…

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.CR: Review Exercises

Problem 25CR

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Similar questions

A solid is formed by cutting a conical section away from a right circular cylinder. If the radius measures 6 in. and the altitude measures 8 in., what is the volume of the resulting solid?
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?
Kristine creates an open box by cutting congruent squares from the four corners of a square piece of cardboard that has a length of 24 in. per side. If the congruent squares that are removed have sides that measure 6 in. each, what is the volume of the box formed by folding and sealing the flaps?
For the right triangular prism found in Exercise 16, suppose that the sides of the triangular base measures 3 ft, 4 ft, and 5 ft. The altitude is 6 ft in length. a Find the lateral area of the prism. b Find the total area of the prism. c Find the volume area of the prism.

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4. A cone just fits inside a cylinder with a diameter of 8 m and a height of 11 m. What is the volume of the cone? 5. A spherical gemstone just fits inside a plastic cube with edges 10 cm. Calculate the volume of the empty space in the cube.