Question

HEEEELP!!!!!!: 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 75mm^3 per minute. How long will it take the icicle to completely melt? USE 3.14!

A. 5.1 MIN
B. 7.5 MIN
C. 15.1 MIN
D. 33.9 MIN

Answer 1

Find the volume of the icicle using the formula V = PI x r^2 x h/3

Volume = 3.14 x 4.5^2 x 120/3

Volume = 3.14 x 20.25 x 40

Volume = 2543.4 cubic mm.

Now divide the total volume by the drip rate:

2543.4 / 75 = 33.9 minutes.

The answer is D.

Answer 2

The time taken for the icicle to completely melt at the given drip rate is determined as 33.9 minutes.

Volume of the cone

The volume of the cone is calculated as follows;

V = ¹/₃πr²h

V = ¹/₃π(4.5)² x 120

V = 2,544.69 mm³

Time to for the icicle to completely melt

Q = V/t

where;

• Q is the drip rate
• V is volume of the icicle
• t is time to completely melt

t = V/Q

t = 2,544.69/75

t = 33.9 min

Thus, the time taken for the icicle to completely melt at the given drip rate is determined as 33.9 minutes.

Learn more about volume of cone here: brainly.com/question/13677400

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