Question

An icicle is in the shape of an inverted cone with a diameter of 9 mm and a height of 120 mm. The icicle drips at a rate of 75 millimeters cubed per minute. How long will it take the icicle to completely melt? Use 3.14 for Pi. Round the answer to the nearest tenth. 5.1 minutes 7.5 minutes 15.1 minutes 33.9 minutes

Answer 1

It will take 33.9 minutes or Answer D

Explanation:

:p

Answer 2

Option D

It will take 33.93 minutes to melt

Explanation:

Because the icicle is the same shape as a cone, the volume of the icicle will be equal to that of the cone

Volume of a cone is given as
`v =(\pi r^(2)h)/(3)`

hence the volume of the cone is
`v =(\pi *4.5^(2)* 120)/(3)= 2544.69 mm^(3)`

if the icicle drips at 75 millimeters cubed per minute, to get the time it will take to completely melt, we will have ti divide the volume by the rate of melting.

This will be given as
`v=(2544.69)/(75)=33.93 minutes`