# Math

Suppose Cylinder A has the same height but twice the radius of Cylinder B. What is the ratio of the volume of Cylinder B to Cylinder A?

1. 👍
2. 👎
3. 👁
1. cylinder1:
height = h
volume = pi r^2 h = pi r^2h

cylinder2:
height = h
volume = pi (2r)^2 h
= 4pi r^2h

or
ratio is 1 : 4
so the volume is 4 times as large

1. 👍
2. 👎

## Similar Questions

1. ### calculus

A potter forms a piece of clay into a right circular cylinder. As she rolls it, the height h of the cylinder increases and the radius r decreases. Assume that no clay is lost in the process. Suppose the height of the cylinder is

2. ### calc

When the height of a cylinder is 12 cm and the radius is 4 cm, the circumference of the cylinder is increasing at a rate of pie/4 cm/m in, and the height of the cylinder is increasing four times faster than the radius. How fast is

3. ### Calculus

A cylinder is inscribed in a right circular cone of height 5.5 and radius (at the base) equal to 2 . A) What are the dimensions of such a cylinder which has maximum volume? B) What is the radius? C) What is the height?

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

1. ### Math

Cylinder A has radius r and height h. Cylinder B has radius 2r and height 2h. How many times greater is the surface area of Cylinder B than the surface area of Cylinder A? I have no idea how to start doing this problem. Are there

2. ### Physics

A solid cylinder (radius = 0.150 m, height = 0.120 m) has a mass of 7.00 kg. This cylinder is floating in water. Then oil ( = 725 kg/m3) is poured on top of the water until the situation shown in the drawing results. How much of

3. ### Algebra

Mary wants to fill in a cylinder vase. At the flower store they told her that the vase should be filled 2/3 for the flowers to last the longest. Her cylinder vase has a radius of 3 in and a height of 8 in. Using the equation

4. ### math

Cylinder A has radius 4 times the radius of cylinder B, and height 4 times the height of cylinder B. What is the ratio of the volume of cylinder A to the volume of cylinder B?

1. ### Math

The volume of a cylinder is given by formula V= pi(3.14) r^2h where r is base radius and h is height a) the height of a cylinder of radius 5cm and volume 500. Cm^3 B) radius of base of a cylinder of volume 300 cm^3 and height 10

2. ### Algebra

This diagram shows a solid metal cylinder. The cylinder hasbase radius 2x and height 9x. The cylinder is melted down and made into a sphere of radius r Find an expression for in terms of x

3. ### Calculus

Find the moment of inertia of a right circular cylinder of radius of base R and height H, about the axis of the cylinder, if the density at the point P is proportional to the distance from P to the axis of the cylinder. Write down

4. ### Mathematics

A cylinder of height 12cm and radius 5cm is made of cardboard use the value of 3.1 to calculate the total surface area of the cardboard needed to make a) a closed cylinder. b) a cylinder open at one end