1. a quarry shaped like a cone has a height of 42 ft and a diameter of 48 ft.
what is the volume of the quarry?
use 3.14 to approximate pi, and express your final answer in hundredths.

2.
a package of modeling clay was shaped like a cone with a radius of 24 cm and a height of 6 cm. miriam used all the clay to make a cylinder with a radius of 16 cm.
what was the height of the cylinder?
use 3.14 to approximate pi, and express your final answer in tenths.

3.
a cone-shaped container sits inside a larger cone. the inner cone has a height of 3 in. and a diameter of 6 in. the outer cone has the same diameter and is 15 in. tall. the extra space in the outer cone is filled with crushed ice to keep the contents of the inner cone cool.
what is the volume of crushed ice?
use 3.14 to approximate pi, and express your final answer in hundredths.

4.jade scooped sand from a completely filled cylinder using a cone-shaped container. the cylinder had a diameter of 12 in. and a height of 5 in., and was one-fourth full after she scooped one full scoop of sand.
what were the dimensions of the cone-shaped container? use 3.14 to approximate pi.
a. h = 5 in.; r = 9 in.

b. h = 9.6 in.; r = 15 in.

c. h = 11.25 in.; r = 12 in

d. h = 15 in.; r = 6 in.

5.a cone-shaped container is filled with liquid. the container has a radius of 60 cm and an height of 210 cm. the liquid is drained from the container at a rate of 1099 cm3 per hour.
how many hours will it take to drain all of the liquid?
use 3.14 to approximate pi.