Three friends are eating enormous freeze pops on a hot summer day. Benjamin has a strawberry freeze pop that has a density of 0.8 pounds per cubic inch. His freeze pop is shaped like a square pyramid with a 1.5-inch side and a height of 2 inches?

Question

Kendra has a giant grape freeze pop which has a density of 0.2 pounds per cubic inch. The freeze pop is a cylinder which has a radius of 1 inch and a height of 4 inches. Luke has a giant cherry freeze pop, which has a density of 0.05 pounds per cubic inch and is also shaped like a cylinder which has a radius of 1.5 inches and a height of 3 inches. Answer the following questions.

Who is eating the largest mass of freeze pop? Round to the nearest tenth of a pound.
How many more pounds of freeze pop does Kendra have compared to Luke? Round your answer to the nearest tenth.
If all three freeze pops were the same size, which flavor would you prefer, based on the densities? Explain why.

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Answer 1 · 2018-03-31T20:01:43

Kendra is eating the largest mass of freeze pop.

Kendra has ##1.4 pounds more freeze pop than Luke.

I would prefer strawberry because of its highest density.

.

Let the weight of Benjamin's freeze pop be #W_B# and

the weight of Kendra's freeze pop be #W_K# and

the weight of Luke's freeze pop be #W_L#

The weight of each freeze pop can be calculated by multiplying its density by its volume.

The formula for the vlume of a pyramid is:

#V_(Pyramid)=A_(Base)h/3=a^2h/3# where #a# is the side length of the square base and #h# is the height

Volume of Benjamin's freeze pop is:

#V_B=(1.5)^2(2/3)=1.5# cubic inches

The weight of Benjamin's freeze pop is:

#W_B=0.8(1.5)=1.2# pounds

#V_( "Cylinder" )=A_(Base)*h=pir^2h#

The volume of Kendra's freeze pop is:

#V_K=pi(1)^2(4)=4pi=12.57# cubic inches

The weight of Kendra's freeze pop is:

#W_K=0.2(12.57)=2.5# pounds

The volume of Luke's freeze pop is:

#V_L=pi(1.5)^2(3)=21.21# cubic inches

The weight of Luke's freeze pop is:

#W_L=0.05(21.21)=1.1# pounds

Kendra is eating the largest mass of freeze pop.

#W_K-W_L=2.5-1.1=1.4# pounds