# math

posted by .

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 empty, leaving your answer in terms of pi.
2. If the liquid fills half the cylinder when placed on a flat table find the height of the liquid in the cylinder when the paper weihgt is turned upside down.

• math -

I was expecting the radius of the cone to be the same as the radius of the cylinder.
So the cone is partially covering the circle of the cone ?

• math -

Sorry, the diameter of 20cm and height of 8cm is for the cylinder.

## Similar Questions

1. ### geometry math

There is an upside-down cone that is 12m high and has a circular base with a radius of 4m that is being filled with liquid. Make V, the volume, a function of the height of the liquid, h. What is the volume of the cone when the water …
2. ### 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 ?
3. ### Math

Sue bought an ice cream cone from Dairy Queen. The cone had a radius of 3cm and a height of 8cm. If I use the formula of (TT=3.14, r=radius, h=height) 2 V=1/3TTr h Is the answer 50.24 cm3?

5. ### Math

A paper cone has a base diameter of 8cm and a height of 3cm(a) use Pythagoras theorem to calculate it's slant height (b)if the cone is cut and opened out into the sector of a circle what is the angel of the sector
6. ### maths

a paper cone has a base diameter of 8cm a height of 3cm. a)caculate the volume of the cone in terms of pie b)if the cone is cut and opened out into the sector of a circle.what is the angle of the sector
7. ### math

A paper cone has a base diameter of 8cm and a height of 3cm a. Calculate the volume of the cone in term of pie b. Calculate the curve surface area of the cone
8. ### 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 when …
9. ### 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 volume …
10. ### 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 volume …

More Similar Questions