Posted by **meeeeee** on Sunday, May 22, 2011 at 10:37pm.

find the volume of the cup. the diameter of the top is 3inches. the diameter of the base is 2inches. the height is 4inches.

- math -
**MathMate**, Monday, May 23, 2011 at 9:59am
If you draw a picture, and imagine that the truncated cone is produced to its vertex V where the diameter is zero, then

height from V to the section at which the diameter is 2"

= 2*4" = 8"

Height of complete cone = 4"+8"=12"

Height of "missing" cone = 8"

Volume of complete cone

= πr²h/3

= 12π(3/2)²/3

= 9π

Volume of "missing" cone

=πr²h/3

=8π(2/2)²/3

=(8/3)π

Therefore volume of the truncated cone

= 9π - (8/3)π

= ...

Volume of comp

## Answer this Question

## Related Questions

- Physics - The diameter of the base of a tapered drinking cup is 6.6cm . The ...
- Math - 1)Forty solid hemisphere each of diameter 2cm , are melted to form a ...
- calc - a pie dish has base diameter 8 inches and top diameter 10 inches and ...
- calculus - a pie dish has a base diameter 8 inches and a top diameter 10 inches ...
- Math - a cylindrical cup is made so that the sum of its diameter and its height ...
- calculus help - A drinking cup is made in the shape of a right circular cylinder...
- math - a model of a solid structure in the shape of frustum of a cone with ...
- math - in the frustum of a cone,the top diameter is twice the bottom diameter. ...
- AP Calculus..again - A balloon is composed of a right circular cone joined at ...
- Math. - A cone has a diameter of 24 in. and a height of 10in. What is the volume...

More Related Questions