Posted by **Jake Monroe** on Monday, May 19, 2014 at 6:40pm.

Karen makes pottery on a pottery wheel. Today she is making vases that are in the shape of a circular cylinder that is open at the top, that is, it has only one base. The base has a radius of 4.5 centimeters and 0.75 centimeters thick. The lateral surface of the cylinder will be 0.4 centimeters thick. She uses 206 cubic centimeters of clay for each vase.

a. How much clay is used for the base of the vase to the nearest tenth.

b. How much clay will be used for the lateral surface of the vase to the nearest tenth

c. How tall will the vase be to the nearest tenth?

c. What will be the lateral surface to the nearest tenth. ( Use the value of the height of the vase found in part c.

- Geometry -
**Steve**, Monday, May 19, 2014 at 11:14pm
The volume of clay is for a cylinder of radius r is

pi r^2(0.75) + pi(r^2-(r-.4)^2)h = 206

Since we have r=4.5, h = 14.6 cm

The base is easy, and just subtract that from 206 to get the lateral volume.

The lateral surface is just 2pi r h

## Answer This Question

## Related Questions

- physics - A small rubber wheel is used to drive a large pottery wheel, and they ...
- physics - A small rubber wheel is used to drive a large pottery wheel, and they ...
- physics - A small rubber wheel is used to drive a large pottery wheel, and they ...
- math - A container in the shape of a right circular cylinder with no top has ...
- geometry - a circular cylinder has a base with a radius of 7.5 cm. and a height ...
- math - a pottery maker can make 24 vases in 8 days. If the pottery maker works 6...
- math - nathan is shipping vases for his pottery studio. Each vase weighs p ...
- math - This is the Crailsheim water tower in Baden-Württemberg, Germany. Its ...
- geometry - how do you calculate the volume of a cylinder with two different ...
- Math - A cylinder cop has a circular base of radius 7cm & height of 10cm taking ...

More Related Questions