# geometry

A cylinder has a height of 16 cm and a radius of 5 cm. A cone has a height of 12 cm and a radius of 4 cm. If the cone is placed inside the cylinder as shown, what is the volume of the air space surrounding the cone inside the cylinder? (Use 3.14 as an approximation of π.)

1. 👍 0
2. 👎 0
3. 👁 846
1. volumespace=volume cylinder-volumecone
= PI*5^2*16 - 1/3 PI 4^2 * 12

1. 👍 0
2. 👎 0
2. 2

1. 👍 0
2. 👎 0
posted by lola
3. A cone is placed inside a cylinder as shown. The radius of the cone is half the radius of the cylinder. The height of the cone is equal to the radius of the cylinder. What is the volume of the cone in terms of the radius, r?

1. 👍 0
2. 👎 0
4. A cylinder has a height of 16 cm and a radius of 5 cm. A cone has a height of 12 cm and a radius of 4 cm. If the cone is placed inside the cylinder as shown, what is the volume of the air space surrounding the cone inside the cylinder? (Use 3.14 as an approximation of .)

1. 👍 0
2. 👎 0
posted by emond
5. 1055.4

1. 👍 0
2. 👎 0
posted by jjjjj
6. 1,055.04 cm3

1. 👍 1
2. 👎 0
posted by chychy

## Similar Questions

1. ### Math

A cylinder is inscribed in a cone as shown in the diagram below. The cone has a height of 8cm and a fixed radius of R cm. The cylinder has a radius of x cm and a height of h cm. Show that the volume of the cylinder is maximised

asked by Isabel on November 29, 2016
2. ### math

A paperweight containing liquid is made up of a cone and a cylinder. The radius of the cone is 3cm with height of 4cm. The diameter is 20cm and height is 8cm. 1. Calculate the total volume of the cone and cylinder when it si

asked by Lindsay on November 29, 2012

Rounded to the nearest hundred cubic meters, what is the total capacity (cone and cylinder) of the storage container? the cone is on top of the cylinder. the radius of the cone is 6 meters and the height of the cone is 8 meters.

asked by evan on April 12, 2015
4. ### geometry

A cylinder has a height of 16 cm and a radius of 5 cm. A cone has a height of 12 cm and a radius of 4 cm. If the cone is placed inside the cylinder as shown, what is the volume of the air space surrounding the cone inside the

asked by Mary on March 2, 2015
5. ### Algebra 1--How Am I Supposed to Solve This?!

Suppose a cone and a cylinder have the same radius and that the slant height l of the cone is the same as the height h of the cylinder. Find the ratio of the cone's surface area to the cylinder's surface area. Area of cone: S =

asked by Victoria on May 27, 2014
6. ### math

A cone has a radius of 6 inches and a height of 9 inches a) calculate the volume of the cone. use pi. as my answer for part a i got 339.92 cubic inches,,,,,,, Is my answer correct ?? I need help doing part b and c. b) calculate a

asked by karen on November 24, 2012
7. ### Math

Can you also help me with another one, it has a cone on top of a cylinder The cones slant height is 6in The cones length(radius) is 4 in The cones height is not known The cylinders height is 7 in The cylinders length(radius) is

asked by Ayan on January 26, 2016
8. ### Geometry

A cone has diameter 12 and height 9. A cylinder is placed inside the cone so the base of the cylinder is concentric with the base of the cone and the upper base of the cylinder is contained in the surface of the cone. If the