# Geometry

posted by .

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 -

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

## Similar Questions

1. ### physics

A small rubber wheel is used to drive a large pottery wheel, and they are mounted so that their circular edges touch. The small wheel has a radius of 1.7 cm and accelerates at the rate of 6.9 rad/s^2, and it is in contact with the …
2. ### physics

A small rubber wheel is used to drive a large pottery wheel, and they are mounted so that their circular edges touch. The small wheel has a radius of 1.7 cm and accelerates at the rate of 6.9 rad/s^2, and it is in contact with the …
3. ### physics

A small rubber wheel is used to drive a large pottery wheel, and they are mounted so that their circular edges touch. The small wheel has a radius of 1.8 and accelerates at the rate of 7.0 , and it is in contact with the pottery wheel …
4. ### geometry

how do you calculate the volume of a cylinder with two different sized bases?
5. ### math

A container in the shape of a right circular cylinder with no top has surface area 3*pi (m2). What height h and base radius r will maximize the volume of the cylinder ?
6. ### geometry

a circular cylinder has a base with a radius of 7.5 cm. and a height of 12 cm. a rectangular prism has a square base and height of 8.0 cm. if the cylinder and the prism have equal volumes, what is the length of the base of the prism …
7. ### math

This is the Crailsheim water tower in Baden-Württemberg, Germany. Its construction was completed in 1912. The base of the tower is a graduated cylinder about 19.2 m high with a diameter of 11.5 m at the base and 8.1 m at the top. …
8. ### math

a pottery maker can make 24 vases in 8 days. If the pottery maker works 6 hours each day, how long does it take to make 1 vase. A 2 hours B 3hr C 4hrs D 6 hours
9. ### math

nathan is shipping vases for his pottery studio. Each vase weighs p pounds. Each crate weighs 5 pounds and holds 10 vases .a shipment consists of 15 crates. write an expression for the weight of a crate holding 40 vases
10. ### math

Ben sells 7/12 of the pottery he made. Of the remaking pottery, 3/5 are vases and the rest are bowls. What fraction of all the pottery is the unsold bowls?

More Similar Questions